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Grade 12th passDifferential Calculus

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

Profile image of D E E P E S H ? ? ? ? ? ?
5 Years agoGrade 12th pass
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1 Answer

Profile image of Antara
5 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 :))