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Use Laplace transforms to solve the following initial value problem. x' +6x' + 25x=0; x(0) = 3, x'(0) = 4 First find the Laplace transform of x(t). X(s) = Then use this to find x(t). x(t) = (Type an exact answer.)

Use Laplace transforms to solve the following initial value problem. x' +6x' + 25x=0; x(0) = 3, x'(0) = 4 First find the Laplace transform of x(t). X(s) = Then use this to find x(t). x(t) = (Type an exact answer.)

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Use Laplace transforms to solve the following initial value problem. x' + 6x' + 25x = 0; x(0) = 3, x'(0) = 4 First find the Laplace transform of x(t). X(s) = Then use this to find x(t). x(t) = (Type an exact answer.)
Transcribed Image Text:Use Laplace transforms to solve the following initial value problem. x' + 6x' + 25x = 0; x(0) = 3, x'(0) = 4 First find the Laplace transform of x(t). X(s) = Then use this to find x(t). x(t) = (Type an exact answer.)
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