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(Solved): Verify that the indicated family of functions is a solution of the given differential equation. As ...



Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate intervaVerify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interva

Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval of definition for each solution. When , Thus, in terms of , Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval of definition for each solution. When Thus, in terms of ,


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d2ydx2?8dydx+16y=0so we have solution y=c1e4x+c2xe4xso diffrentiate it with respect to xdydx=4c1e4x
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