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

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

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

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

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

Solution steps

x \frac{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

\frac{2 s ^{2}}{s ^{4} - 1}

\int_{0}^{1} 2 x (x^{2} + 1)^{2} d x

f (x) = \frac{6}{x ^{2}}

x, 64

\int + \frac{x}{3 - x ^{4}} d x

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