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A series circuit consists of a resistor A series circuit consists of a resistor   an inductor with L =   H, a capacitor with C =   F, and a   -V battery. If the initial charge and current are both 0, find the charge Q(t) at time t. an inductor with L = A series circuit consists of a resistor   an inductor with L =   H, a capacitor with C =   F, and a   -V battery. If the initial charge and current are both 0, find the charge Q(t) at time t. H, a capacitor with C = A series circuit consists of a resistor   an inductor with L =   H, a capacitor with C =   F, and a   -V battery. If the initial charge and current are both 0, find the charge Q(t) at time t. F, and a A series circuit consists of a resistor   an inductor with L =   H, a capacitor with C =   F, and a   -V battery. If the initial charge and current are both 0, find the charge Q(t) at time t. -V battery. If the initial charge and current are both 0, find the charge Q(t) at time t.

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Solve the initial-value problem using the method of undetermined coefficients. Solve the initial-value problem using the method of undetermined coefficients.

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Solve the differential equation. Solve the differential equation.

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Solve the differential equation using the method of variation of parameters. Solve the differential equation using the method of variation of parameters.

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The solution of the initial-value problem The solution of the initial-value problem   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. A)    B)    C)    D)    E)   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function.


A) The solution of the initial-value problem   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. A)    B)    C)    D)    E)
B) The solution of the initial-value problem   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. A)    B)    C)    D)    E)
C) The solution of the initial-value problem   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. A)    B)    C)    D)    E)
D) The solution of the initial-value problem   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. A)    B)    C)    D)    E)
E) The solution of the initial-value problem   is called a Bessel function of order 0. Solve the initial - value problem to find a power series expansion for the Bessel function. A)    B)    C)    D)    E)

F) A) and E)
G) B) and D)

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A spring with a mass of 2 kg has damping constant 14, and a force of A spring with a mass of 2 kg has damping constant 14, and a force of   N is required to keep the spring stretched   m beyond its natural length. The spring is stretched 1m beyond its natural length and then released with zero velocity. Find the position x(t) of the mass at any time t. N is required to keep the spring stretched A spring with a mass of 2 kg has damping constant 14, and a force of   N is required to keep the spring stretched   m beyond its natural length. The spring is stretched 1m beyond its natural length and then released with zero velocity. Find the position x(t) of the mass at any time t. m beyond its natural length. The spring is stretched 1m beyond its natural length and then released with zero velocity. Find the position x(t) of the mass at any time t.

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Solve the differential equation. Solve the differential equation.

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Solve the differential equation using the method of variation of parameters. Solve the differential equation using the method of variation of parameters.

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Solve the initial-value problem. Solve the initial-value problem.

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Solve the initial-value problem. Solve the initial-value problem.

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Use power series to solve the differential equation.. Use power series to solve the differential equation..   A)    B)    C)    D)    E)


A) Use power series to solve the differential equation..   A)    B)    C)    D)    E)
B) Use power series to solve the differential equation..   A)    B)    C)    D)    E)
C) Use power series to solve the differential equation..   A)    B)    C)    D)    E)
D) Use power series to solve the differential equation..   A)    B)    C)    D)    E)
E) Use power series to solve the differential equation..   A)    B)    C)    D)    E)

F) B) and C)
G) A) and E)

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Solve the differential equation using the method of undetermined coefficients. Solve the differential equation using the method of undetermined coefficients.   A)    B)    C)    D)    E)


A) Solve the differential equation using the method of undetermined coefficients.   A)    B)    C)    D)    E)
B) Solve the differential equation using the method of undetermined coefficients.   A)    B)    C)    D)    E)
C) Solve the differential equation using the method of undetermined coefficients.   A)    B)    C)    D)    E)
D) Solve the differential equation using the method of undetermined coefficients.   A)    B)    C)    D)    E)
E) Solve the differential equation using the method of undetermined coefficients.   A)    B)    C)    D)    E)

F) A) and E)
G) D) and E)

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Solve the differential equation. Solve the differential equation.   A)    B)    C)    D)    E) None of these


A) Solve the differential equation.   A)    B)    C)    D)    E) None of these
B) Solve the differential equation.   A)    B)    C)    D)    E) None of these
C) Solve the differential equation.   A)    B)    C)    D)    E) None of these
D) Solve the differential equation.   A)    B)    C)    D)    E) None of these
E) None of these

F) D) and E)
G) All of the above

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Use power series to solve the differential equation. Use power series to solve the differential equation.   A)    B)    C)    D)    E)


A) Use power series to solve the differential equation.   A)    B)    C)    D)    E)
B) Use power series to solve the differential equation.   A)    B)    C)    D)    E)
C) Use power series to solve the differential equation.   A)    B)    C)    D)    E)
D) Use power series to solve the differential equation.   A)    B)    C)    D)    E)
E) Use power series to solve the differential equation.   A)    B)    C)    D)    E)

F) B) and D)
G) D) and E)

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Graph the particular solution and several other solutions. Graph the particular solution and several other solutions.   A)    B)    C)


A) Graph the particular solution and several other solutions.   A)    B)    C)
B) Graph the particular solution and several other solutions.   A)    B)    C)
C) Graph the particular solution and several other solutions.   A)    B)    C)

D) A) and B)
E) A) and C)

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Solve the initial-value problem. Solve the initial-value problem.   A)    B)    C)    D)    E) None of these


A) Solve the initial-value problem.   A)    B)    C)    D)    E) None of these
B) Solve the initial-value problem.   A)    B)    C)    D)    E) None of these
C) Solve the initial-value problem.   A)    B)    C)    D)    E) None of these
D) Solve the initial-value problem.   A)    B)    C)    D)    E) None of these
E) None of these

F) B) and E)
G) A) and B)

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A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of   m/s, find the position x(t)  of the mass after t seconds. A)    B)    C)    D)    E)   m/s, find the position x(t) of the mass after t seconds.


A) A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of   m/s, find the position x(t)  of the mass after t seconds. A)    B)    C)    D)    E)
B) A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of   m/s, find the position x(t)  of the mass after t seconds. A)    B)    C)    D)    E)
C) A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of   m/s, find the position x(t)  of the mass after t seconds. A)    B)    C)    D)    E)
D) A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of   m/s, find the position x(t)  of the mass after t seconds. A)    B)    C)    D)    E)
E) A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of   m/s, find the position x(t)  of the mass after t seconds. A)    B)    C)    D)    E)

F) D) and E)
G) B) and D)

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Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients. Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients.   A)    B)    C)    D)    E)


A) Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients.   A)    B)    C)    D)    E)
B) Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients.   A)    B)    C)    D)    E)
C) Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients.   A)    B)    C)    D)    E)
D) Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients.   A)    B)    C)    D)    E)
E) Find a trial solution for the method of undetermined coefficients. Do not determine the coefficients.   A)    B)    C)    D)    E)

F) A) and E)
G) A) and D)

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Solve the differential equation. Solve the differential equation.   A)    B)    C)    D)    E)


A) Solve the differential equation.   A)    B)    C)    D)    E)
B) Solve the differential equation.   A)    B)    C)    D)    E)
C) Solve the differential equation.   A)    B)    C)    D)    E)
D) Solve the differential equation.   A)    B)    C)    D)    E)
E) Solve the differential equation.   A)    B)    C)    D)    E)

F) A) and B)
G) A) and C)

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Solve the initial-value problem. Solve the initial-value problem.   A)    B)    C)    D)    E)


A) Solve the initial-value problem.   A)    B)    C)    D)    E)
B) Solve the initial-value problem.   A)    B)    C)    D)    E)
C) Solve the initial-value problem.   A)    B)    C)    D)    E)
D) Solve the initial-value problem.   A)    B)    C)    D)    E)
E) Solve the initial-value problem.   A)    B)    C)    D)    E)

F) All of the above
G) None of the above

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