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

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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a) A vibrating spring can be modeled by the initial value problem: mx"(t) = bx'(t) + kx(t) = 0 %3| With x(0) 3 хо аnd x'(0) %3 vo Solve the above equation when: 10kg, b = 12 kg/sec,k = 37 kg/sec? ,x, = 50cm and v, 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 %3| With x(0) 3 хо аnd x'(0) %3 vo Solve the above equation when: 10kg, b = 12 kg/sec,k = 37 kg/sec? ,x, = 50cm and v, 10ст/sec m =
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