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(10) Show that the Laplace transform and algebraic solution X(s) of the spring-mass system mx" + kx = = f(t) is sx(0) + x'(0) Fo X(s) = + ms (s²+w2) where f(t) = Fo= constant and w = √k/m.

(10) Show that the Laplace transform and algebraic solution X(s) of the spring-mass system mx" + kx = = f(t) is sx(0) + x'(0) Fo X(s) = + ms (s²+w2) where f(t) = Fo= constant and w = √k/m.

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
Section11.3: Euler's Method
Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.
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(10) Show that the Laplace transform and algebraic solution X(s) of the spring-mass system mx" + kx = = f(t) is sx(0) + x'(0) Fo X(s) = + ms (s²+w2) where f(t) = Fo= constant and w = √k/m.
Transcribed Image Text:(10) Show that the Laplace transform and algebraic solution X(s) of the spring-mass system mx" + kx = = f(t) is sx(0) + x'(0) Fo X(s) = + ms (s²+w2) where f(t) = Fo= constant and w = √k/m.
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