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Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on [0,∞) and of exponential order. y" +25y=g(t); y(0)=4, y'(0) = 0 Enter a formula for the solution using v as the convolution variable. y(t) = ☐

Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on [0,∞) and of exponential order. y" +25y=g(t); y(0)=4, y'(0) = 0 Enter a formula for the solution using v as the convolution variable. y(t) = ☐

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 34CR
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Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on [0,∞) and of exponential order. y" +25y=g(t); y(0)=4, y'(0) = 0 Enter a formula for the solution using v as the convolution variable. y(t) = ☐
Transcribed Image Text:Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on [0,∞) and of exponential order. y" +25y=g(t); y(0)=4, y'(0) = 0 Enter a formula for the solution using v as the convolution variable. y(t) = ☐
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