What is the solution for x*y*y^'=y^2+1 ?

The solution for x*y*y^'=y^2+1 is y=sqrt(c_{1)x^2-1},y=-sqrt(c_{1)x^2-1}

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xyy^'=y^2+1

x \cdot y \cdot y^{^{'}} = y^{2} + 1

y = c_{1} x^{2} - 1, y = - c_{1} x^{2} - 1

Solution steps

x \cdot y \cdot y^{'} (x) = y^{2} + 1

Solve separable ODE:

y = c_{1} x^{2} - 1, y = - c_{1} x^{2} - 1

y = c_{1} x^{2} - 1, y = - c_{1} x^{2} - 1

What is the solution for x*y*y^'=y^2+1 ?
The solution for x*y*y^'=y^2+1 is y=sqrt(c_{1)x^2-1},y=-sqrt(c_{1)x^2-1}