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

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

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(dy}{dx}=\frac{e^x)/y

\frac{d y}{d x} = \frac{e ^{x}}{y}

y = 2 e^{x} + c_{1}, y = - 2 e^{x} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{e ^{x}}{y}

Solve separable ODE:

y = 2 e^{x} + c_{1}, y = - 2 e^{x} + c_{1}

y = 2 e^{x} + c_{1}, y = - 2 e^{x} + c_{1}

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\frac{d}{d x} ((x^{2} - 10 x + 9) 25 - x^{2})

\int (x cos^{2} (y) - sin (y)) d x

\int [cos (\frac{x}{2}) - sin (3 \frac{x}{2})] d x

\frac{d}{d x} (\frac{7}{x ^{- 2}} + \frac{5}{x ^{- 3}})

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