Solve differential equationt^2dy= (8ln^2t-ty)dt

necessaryh

necessaryh

Answered question

2021-03-01

Solve differential equation t2dy=(8ln2tty)dt

Answer & Explanation

avortarF

avortarF

Skilled2021-03-02Added 113 answers

t2dydt+ty=8ln2t
dy(dt)+yt=8ln2tt2
I.F.=e1tdt=elnt=t
yt=8ln2tt2tdt
yt=8ln2ttdy
yt=83ln3(t)+c
y=83tln3(t)+ct

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-22Added 2605 answers

Answer is given below (on video)

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