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BITSAT2020MathematicsDifferential EquationsActual

The solutions of (x+y+1) d y=d x are

Options

  1. Ax+y+2=C e^ y
  2. Bx+y+4=C y
  3. C(x+y+2)=C y
  4. D(x+y+2)=C-y

Correct answer

A. x+y+2=C e^ y

Step-by-step solution

Putting x+y+1=u, we have d u=d x+d y and the given equation reduces to u(d u-d x)=d x u d u u+1 =d x u- (u+1)=x (x+y+2)=y+ constant x+y+2=C e^ y

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