What is the solution for x^3(dy)/(dx)=y^2(x-3) ?

The solution for x^3(dy)/(dx)=y^2(x-3) is y=-(2x^2)/(-2x+3+2c_{1)x^2}

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x^3(dy)/(dx)=y^2(x-3)

x^{3} \frac{d y}{d x} = y^{2} (x - 3)

y = - \frac{2 x ^{2}}{- 2 x + 3 + 2 c _{1} x ^{2}}

Solution steps

x^{3} \frac{d y}{d x} = y^{2} (x - 3)

Solve separable ODE:

y = - \frac{2 x ^{2}}{- 2 x + 3 + 2 c _{1} x ^{2}}

y = - \frac{2 x ^{2}}{- 2 x + 3 + 2 c _{1} x ^{2}}

What is the solution for x^3(dy)/(dx)=y^2(x-3) ?
The solution for x^3(dy)/(dx)=y^2(x-3) is y=-(2x^2)/(-2x+3+2c_{1)x^2}