ques. To solve the differential equation : y - x.dy/dx=a( y2 + x2.dy/dx) ; y(a)=a.
Hi!
Here is the answer to your question.
Comparing the coefficients of x and the constant terms both sides ap = 1 and p + q = 0
Compare the coefficients of y and the constant terms of both sides, r = 1 and s – ar = 0
∴ s = ar = a
Substring this value in equation (2), you will obtain the solution of the given differential equation.
Hope! You got the answer.
Cheers!