What is the solution for (xdy)/(dx)=y+sqrt(x^2-y^2) ?

The solution for (xdy)/(dx)=y+sqrt(x^2-y^2) is y=sin(ln(x)+c_{1})x

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(xdy)/(dx)=y+sqrt(x^2-y^2)

\frac{x d y}{d x} = y + x^{2} - y^{2}

y = sin (ln (x) + c_{1}) x

Solution steps

\frac{x d y}{d x} = y + x^{2} - y^{2}

Solve using substitution:

y = sin (ln (x) + c_{1}) x

y = sin (ln (x) + c_{1}) x

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- 9 t^{2}

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\frac{\partial}{\partial x} (x + y^{3})

What is the solution for (xdy)/(dx)=y+sqrt(x^2-y^2) ?
The solution for (xdy)/(dx)=y+sqrt(x^2-y^2) is y=sin(ln(x)+c_{1})x