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

Aneeka Hunt

Aneeka Hunt

Answered question

2021-01-16

Solve differential equation dydx(cotx)y=sin3x

Answer & Explanation

AGRFTr

AGRFTr

Skilled2021-01-17Added 95 answers

dydx+P(n)y=Q(n)
I.F=ep(x)dx
=ecotxdx
=elnsinn
=eln1sinn
I.F.=1sinn
y(I.F.)=(I.F.)Q(x)
1sinxy={sin3x}{sinx}dn
ysinx=sin2ndx
ysinx=1cos2x2dx
ysinx=12dxcos2x2dx
ysinx=x2sin2n4+c
y=2sinxsinxsinxsin2x4+c
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-12Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

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