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Solution of the differential equation cos x dy = y (sin x – y) dx, 2 0 p << x is

Solution of the differential equation cos x dy = y (sin x – y) dx,
2
0
p
<< x is

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
cosx dy= y(sinx -y)dx
dy/y = tanx dx – ydx
integrating on both sides we get
ln y= -ln cosx-xy+c
(y/cos x)=e-xy+c
Thanks and Regards
Shaik Aasif
askIITians Faculty

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