What is the solution for (dy)/(dx)=(y^2)/(x^3),y(1)=1 ?

The solution for (dy)/(dx)=(y^2)/(x^3),y(1)=1 is y=(2x^2)/(1+x^2)

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(dy)/(dx)=(y^2)/(x^3),y(1)=1

\frac{d y}{d x} = \frac{y ^{2}}{x ^{3}}, y (1) = 1

y = \frac{2 x ^{2}}{1 + x ^{2}}

Solution steps

\frac{d y}{d x} = \frac{y ^{2}}{x ^{3}}

Solve separable ODE:

y = \frac{2 x ^{2}}{1 + x ^{2}}

y = \frac{2 x ^{2}}{1 + x ^{2}}

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