The general solution of the DE dy/dx = y/x + sin y/x is

Question

The general solution of the DE \(\frac{dy}{dx} = \frac{y}{x} +\, sin\, \frac {y}{x}\) is

A. tan \(\frac{y}{2x}\) = Cx

B.  tan \(\frac{y}{x}\) = Cx

C.  tan \(\frac{y}{2x}\) = C

D. None of these

Answer 1

Conclusion: Therefore, tan \(\frac{y}{2x} \) = Cx is the solution of \(\frac{dy}{dx}\)v + x \(\frac{dv}{dx}\)