What is the solution for (dy)/(dt)=(sqrt(t))/(sqrt(y)) ?

The solution for (dy)/(dt)=(sqrt(t))/(sqrt(y)) is y=\sqrt[3]{t^3+3c_{1}t^{3/2}+(9c_{1}^2)/4}

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(dy)/(dt)=(sqrt(t))/(sqrt(y))

\frac{d y}{d t} = \frac{t}{y}

Solution steps

\frac{d y}{d t} = \frac{t}{y}

Solve separable ODE:

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

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

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

y^{^{'}} = \frac{sin ( x )}{y}

\frac{d y}{d t} - 6 y = 5

What is the solution for (dy)/(dt)=(sqrt(t))/(sqrt(y)) ?
The solution for (dy)/(dt)=(sqrt(t))/(sqrt(y)) is y=\sqrt[3]{t^3+3c_{1}t^{3/2}+(9c_{1}^2)/4}