Solve the following differential equations subject to the specified initial conditions
Chapter 8, Problem 8.29(choose chapter or problem)
Solve the following differential equations subject to the specified initial conditions
(a) \(d^{2} v / d t^{2}+4 v=12, v(0)=0, d v(0) / d t=2\)
(b) \(d^{2} i / d t^{2}+5 d i / d t+4 i=8, i(0)=-1\), \(d i(0) / d t=0\)
(c) \(d^{2} v / d t^{2}+2 d v / d t+v=3, v(0)=5\), \(d v(0) / d t=1\)
(d) \(d^{2} i / d t^{2}+2 d i / d t+5 i=10, i(0)=4\), \(d i(0) / d t=-2\)
Equation Transcription:
Text Transcription:
d^2v/dt^2 + 4v = 12, v(0) = 0, dv(0)/dt = 2
d^2i/dt^2 + 5 di/dt + 4i = 8, i(0) =-1, di(0)/dt = 0
d^2v/dt^2+ 2 dv/dt + v = 3, v(0) = 5, dv(0)/dt = 1
d^2i/dt^2+ 2 di/dt + 5i = 10, i(0) = 4, di(0)/dt =-2
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