What is the solution for (dy)/(dt)=2*sqrt(y) ?

The solution for (dy)/(dt)=2*sqrt(y) is y=t^2+c_{1}t+(c_{1}^2)/4

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(dy)/(dt)=2*sqrt(y)

\frac{d y}{d t} = 2 \cdot y

y = t^{2} + c_{1} t + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d t} = 2 \cdot y

Solve separable ODE:

y = t^{2} + c_{1} t + \frac{c _{1}^{2}}{4}

y = t^{2} + c_{1} t + \frac{c _{1}^{2}}{4}

x^{2} - 5

x \to \infty lim (- 3 e^{x})

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

\frac{d}{d x} (cos^{4} (x) - 2 x^{2})

\frac{1}{s + 11}

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