What is the solution for (dy}{dx}=\frac{y+xcos^2(y/x))/x ?

The solution for (dy}{dx}=\frac{y+xcos^2(y/x))/x is y=arctan(ln(x)+c_{1})x+pinx

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(dy}{dx}=\frac{y+xcos^2(y/x))/x

\frac{d y}{d x} = \frac{y + x cos ^{2} ( \frac{y}{x} )}{x}

y = arctan (ln (x) + c_{1}) x + πn x

Solution steps

\frac{d y}{d x} = \frac{y + x cos ^{2} ( \frac{y}{x} )}{x}

Solve using substitution:

y = arctan (ln (x) + c_{1}) x + πn x

y = arctan (ln (x) + c_{1}) x + πn x

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What is the solution for (dy}{dx}=\frac{y+xcos^2(y/x))/x ?
The solution for (dy}{dx}=\frac{y+xcos^2(y/x))/x is y=arctan(ln(x)+c_{1})x+pinx