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99 Percentile Qs Bank for JEE MainMathematicsDifferential Equations

The solution of the differential equation d y d x =1- (y-x) (y-x) is

Options

Ax (y-x)=c
Bx= (y-x)+c
Cx= (y-x)+c
Dx+ (y-x)=c

Correct answer

D. x+ (y-x)=c

Step-by-step solution

We have, d y d x =1- (y-x) (y-x) Put y-x=v d y d x =1+ d v d x aligned & 1+ d v d x =1- v v d v d x =- ^2 v v & - v ^2 v d v= d x - v v d v=d x & - v=x+c x+ (y-x)=c aligned

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