What is the solution for (dy)/(dt)=(e^t)/(2y) ?

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

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(dy)/(dt)=(e^t)/(2y)

\frac{d y}{d t} = \frac{e ^{t}}{2 y}

y = e^{t} + c_{1}, y = - e^{t} + c_{1}

Solution steps

\frac{d y}{d t} = \frac{e ^{t}}{2 y}

Solve separable ODE:

y = e^{t} + c_{1}, y = - e^{t} + c_{1}

y = e^{t} + c_{1}, y = - e^{t} + c_{1}

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