Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on [0,00) and of exponential order. y' + y =g(t); y(0) = 0, y'(0) = 4 Enter a formula for the solution using v as the convolution variable. y(t) =

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
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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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 [0,00) and of exponential order.
y' + y =g(t); y(0) = 0, y'(0) = 4
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 [0,00) and of exponential order. y' + y =g(t); y(0) = 0, y'(0) = 4 Enter a formula for the solution using v as the convolution variable. y(t) =
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