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A certain physical system is governed by second-order initial value problem of the form a"(t) – 4.r'(t)+3r(t) =0 with r(0) = 1 and r'(0) = -2 %3D %3D (a) Write down the equivalent system of two first-order equations. (b) Use the fourth order Runge-Kutta method to solve the x(0.5) with step size h = 0.5

A certain physical system is governed by second-order initial value problem of the form a"(t) – 4.r'(t)+3r(t) =0 with r(0) = 1 and r'(0) = -2 %3D %3D (a) Write down the equivalent system of two first-order equations. (b) Use the fourth order Runge-Kutta method to solve the x(0.5) with step size h = 0.5

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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A certain physical system is governed by second-order initial value problem of the form a"(t) – 4.x'(t) +3r(t) = 0 with (0) = 1 and (0)= -2 %3D %3D (a) Write down the equivalent system of two first-order equations. (b) Use the fourth order Runge-Kutta method to solve the x(0.5) with step size h = 0.5 %3D
Transcribed Image Text:A certain physical system is governed by second-order initial value problem of the form a"(t) – 4.x'(t) +3r(t) = 0 with (0) = 1 and (0)= -2 %3D %3D (a) Write down the equivalent system of two first-order equations. (b) Use the fourth order Runge-Kutta method to solve the x(0.5) with step size h = 0.5 %3D
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