What is the solution for (dy}{dx}+\frac{x^2)/y =0 ?

The solution for (dy}{dx}+\frac{x^2)/y =0 is y=sqrt(-(2x^3)/3+c_{1)},y=-sqrt(-(2x^3)/3+c_{1)}

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(dy}{dx}+\frac{x^2)/y =0

\frac{d y}{d x} + \frac{x ^{2}}{y} = 0

y = - \frac{2 x ^{3}}{3} + c_{1}, y = - - \frac{2 x ^{3}}{3} + c_{1}

Solution steps

\frac{d y}{d x} + \frac{x ^{2}}{y} = 0

Solve separable ODE:

y = - \frac{2 x ^{3}}{3} + c_{1}, y = - - \frac{2 x ^{3}}{3} + c_{1}

y = - \frac{2 x ^{3}}{3} + c_{1}, y = - - \frac{2 x ^{3}}{3} + c_{1}

x \to 0 lim (x^{21 x})

y = x^{2} + 4 x - 3

\int sin (16 x) cos (11 x) d x

\frac{d N}{d t} = 5 - N

\frac{2 x + x ^{2}}{( 1 + x ) ^{2}}

What is the solution for (dy}{dx}+\frac{x^2)/y =0 ?
The solution for (dy}{dx}+\frac{x^2)/y =0 is y=sqrt(-(2x^3)/3+c_{1)},y=-sqrt(-(2x^3)/3+c_{1)}