The general solution of the DE x^2 dy/dx = x^2 + xy + y^2 is.

Question

The general solution of the DE x² \(\frac{dy}{dx}\) = x² + xy + y² is.

A.  tan^-1 \(\frac{y}{x}\) = log x + C

B.  tan^-1 \(\frac{x}{y}\) = log x + C

C.   tan^-1 \(\frac{y}{x}\) = log y + C

D. None of these

Answer 1

On integrating on both sides, we get

Conclusion: Therefore, tan^-1 \(\frac{y}{x}\) = log x + c is the solution of