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(Y-2x^3) dx - x(1-xy) dy=0 find the exact equation.

(Y-2x^3) dx - x(1-xy) dy=0 find the exact equation.
 

Grade:12th pass

1 Answers

Antara
50 Points
2 years ago
(y-2x3)dx=x(1-xy)dy
=> ydx-2x3dx=xdy-x2ydy
=>(xdy-ydx)/x2=ydy-2xdx
=>d(y/x)=ydy-2xdx    ….....This is the exact differential eqn.
 
Hope it helps :))
 

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