Chat with AIExam 17: Second-Order Differential Equations
Exam 1: Functions and Limits117 Questions
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Exam 12: Vectors and the Geometry of Space60 Questions
Exam 13: Vector Functions93 Questions
Exam 14: Partial Derivatives132 Questions
Exam 15: Multiple Integrals124 Questions
Exam 16: Vector Calculus137 Questions
Exam 17: Second-Order Differential Equations63 Questions
Exam 18: Final Exam44 Questions
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Solve the differential equation using the method of undetermined coefficients. 
(Multiple Choice)
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(32) A series circuit consists of a resistor 
, an inductor with 
, a capacitor with 
, and a generator producing a voltage of 
If the initial charge is 
and the initial current is 0, find the charge 
at time t.
, an inductor with , a capacitor with , and a generator producing a voltage of If the initial charge is and the initial current is 0, find the charge at time t. (Multiple Choice)
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(33) Solve the differential equation using the method of variation of parameters. 
(Multiple Choice)
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A spring with a mass of 2 kg has damping constant 8 and spring constant 80. Graph the position function of the mass at time t if it starts at the equilibrium position with a velocity of 2 m/s.
(Multiple Choice)
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(42) A spring has a mass of 
kg and its damping constant is 
. The spring starts from its equilibrium position with a velocity of 
m/s. Graph the position function for the spring constant 
.
kg and its damping constant is . The spring starts from its equilibrium position with a velocity of m/s. Graph the position function for the spring constant . (Multiple Choice)
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Solve the initial-value problem using the method of undetermined coefficients. 
(Essay)
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Solve the differential equation using the method of variation of parameters. 
(Multiple Choice)
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(36) 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. Find the mass that would produce critical damping.
N is required to keep the spring stretched m beyond its natural length. Find the mass that would produce critical damping. (Essay)
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(41) 
; 
, 
A spring with a 
-kg mass has natural length 
m and is maintained stretched to a length of 
m by a force of 
N. If the spring is compressed to a length of 
m and then released with zero velocity, find the position 
of the mass at any time 
.
-kg mass has natural length m and is maintained stretched to a length of m by a force of N. If the spring is compressed to a length of m and then released with zero velocity, find the position of the mass at any time . (Multiple Choice)
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