a) A vibrating spring can be modeled by the initial value problem: mx"(t) + bx'(t) + kx(t) = 0 With x(0) = x, and x'(0) = v. Solve the above equation when: m = 10kg, b = 12 kg/sec,k = 37 kg/sec2 ,x. 3D 50ст апd v, %3 10ст/sec

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) A vibrating spring can be modeled by the initial value problem:
mx" (t) + bx'(t) + kx(t) = 0
With x(0) — х, аnd x'(0) %3 Vo
Solve the above equation when:
10kg, b = 12 kg/sec,k = 37 kg/sec? ,x,
3D 50ст апd v, 3D 10ст/sec
m =
Transcribed Image Text:a) A vibrating spring can be modeled by the initial value problem: mx" (t) + bx'(t) + kx(t) = 0 With x(0) — х, аnd x'(0) %3 Vo Solve the above equation when: 10kg, b = 12 kg/sec,k = 37 kg/sec? ,x, 3D 50ст апd v, 3D 10ст/sec m =
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