What is the solution for sqrt(1+x^2)dy-sqrt(1-y^2)dx=0 ?

The solution for sqrt(1+x^2)dy-sqrt(1-y^2)dx=0 is y=sin(ln(sqrt(x^2+1)+x)+c_{1})

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sqrt(1+x^2)dy-sqrt(1-y^2)dx=0

1 + x^{2} d y - 1 - y^{2} d x = 0

y = sin (ln (x^{2} + 1 + x) + c_{1})

Solution steps

1 + x^{2} d y - 1 - y^{2} d x = 0

Solve separable ODE:

y = sin (ln (x^{2} + 1 + x) + c_{1})

y = sin (ln (x^{2} + 1 + x) + c_{1})

\int (13 x + 3) d x

x^{a}

\frac{d}{d t} (tan (5 t))

y = - 6 x^{2} + 4

What is the solution for sqrt(1+x^2)dy-sqrt(1-y^2)dx=0 ?
The solution for sqrt(1+x^2)dy-sqrt(1-y^2)dx=0 is y=sin(ln(sqrt(x^2+1)+x)+c_{1})