Solve IVP y16y16xe4x y00 y00 By using a Undetermined Coeffic

Solve IVP y\'\'-16y=16x/e^4x, y(0)=0, y\'(0)=0

By using:

a) Undetermined Coefficients Method

b) Variation of Parameters Method

Solution

We know that the general solution will be of the form,

y(t)=yc(t)+yp(t)

the characteristic equation will become as r2-16r-16=0

now find the roots

Solve IVP y\'\'-16y=16x/e^4x, y(0)=0, y\'(0)=0 By using: a) Undetermined Coefficients Method b) Variation of Parameters MethodSolutionWe know that the general s

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