In an integration differential equation, the unknown dependent variable y appears with an integratal, and its derivative dy/dt also appears. Consider the following initial value problem for t>_0: dy...


In an integration differential equation, the unknown dependent variable y appears with an integratal, and its derivative dy/dt also appears. Consider the following initial value problem for t>_0:


dy<br>+4<br>dt<br>-4w<br>y(t – w) e<br>dw = 8,<br>y(0) = 0.<br>a. Use convolution and Laplace transforms to find the Laplace transform of the solution.<br>Y(s) = L {y(t)} =<br>b. Obtain the solution y(t).<br>y(t) =<br>

Extracted text: dy +4 dt -4w y(t – w) e dw = 8, y(0) = 0. a. Use convolution and Laplace transforms to find the Laplace transform of the solution. Y(s) = L {y(t)} = b. Obtain the solution y(t). y(t) =

Jun 04, 2022
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