Question

Solution of differenrial equation
P = sin ( y - xP ) is

Answer 1

Solution is attached in the image below.

Answer 2

The given Differential equation is

P = sin (y - x P)

$Sin ^{-1}P= y - x P \\\\  y = Sin ^{-1}P + x P$

As there is one Constant , so we have to differentiate it once with respect to x

y'= 0+ P

y'=P

Substituting the value of P in original equation

y = $Sin^{-1}y'+ x y'$