Solve differential equation x\frac{dy}{dx}-2y=x^3 \sin^2(x)

tabita57i 2020-11-27 Answered
Solve differential equation xdydx2y=x3sin2(x)
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Expert Answer

Lacey-May Snyder
Answered 2020-11-28 Author has 88 answers
xdydx2y=x3sin2(x)
xdydx2x=x2sin(x)
I.F.=e2xdx
=e2lnx
=e{lnx2}
=x2
yx2=x2(x2sin2x)dx+c
=sin2xdx+c
=1cos2x2dx+c
=x2sin2x4+c
y=x32x2sin2x4+cx2
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Jeffrey Jordon
Answered 2021-12-14 Author has 2262 answers

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