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

The solution for (xsqrt(1+y^2))dx-x^2dy=0 is y=-1/(2e^{c_{1)}x}+(e^{c_{1}}x)/2

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

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

y = - \frac{1}{2 e ^{c_{1}} x} + \frac{e ^{c_{1}} x}{2}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{2 e ^{c_{1}} x} + \frac{e ^{c_{1}} x}{2}

y = - \frac{1}{2 e ^{c_{1}} x} + \frac{e ^{c_{1}} x}{2}

What is the solution for (xsqrt(1+y^2))dx-x^2dy=0 ?
The solution for (xsqrt(1+y^2))dx-x^2dy=0 is y=-1/(2e^{c_{1)}x}+(e^{c_{1}}x)/2