Question

x dy –y dx =(x2+y2)(x dx +y dy)

Answer 1

Answer:

y = xtan (c-x²-y²)/2)

Step-by-step explanation:

we know that

d (x²+y²) =2 (xdx+ydy)

therefore the equation becomes

1 /2d(x²+y²) + dtan (y/x) = 0 (exact equation)

on integrating, we get

therefore y =xtan (c-x²-y²)/2)