Solve differential equation y'+4y=128x

aortiH 2021-01-31 Answered
Solve differential equationy+4y=128x
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d2saint0
Answered 2021-02-01 Author has 89 answers

y+4y=128x
y+Py=Q
P=4, Q=128x
I.F.=ePdx
=e4dx
y(I.F.)=Q(I.F.)dx+c
ye4x=128xe4xdx+c
ye4x=128xe4xdx+c
ye4x=128[xe4x41×e4x4dx]+c
ye4x=128[xe4x4116e4x]+c
y(x)=32x8+ce4x

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Jeffrey Jordon
Answered 2021-12-25 Author has 2047 answers

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