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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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