What is the solution for (dy}{dx}=\frac{7e^x)/y ?

The solution for (dy}{dx}=\frac{7e^x)/y is y=sqrt(14e^x+c_{1)},y=-sqrt(14e^x+c_{1)}

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(dy}{dx}=\frac{7e^x)/y

\frac{d y}{d x} = \frac{7 e ^{x}}{y}

y = 14 e^{x} + c_{1}, y = - 14 e^{x} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{7 e ^{x}}{y}

Solve separable ODE:

y = 14 e^{x} + c_{1}, y = - 14 e^{x} + c_{1}

y = 14 e^{x} + c_{1}, y = - 14 e^{x} + c_{1}

n = 1 \sum \infty n e^{8 n}

\int t^{- \frac{1}{2}} d t

- 2 x^{2} + 3

\frac{x}{10} - \frac{10}{x}

\frac{d v}{d t} + \frac{3 v}{2} = 9.8

What is the solution for (dy}{dx}=\frac{7e^x)/y ?
The solution for (dy}{dx}=\frac{7e^x)/y is y=sqrt(14e^x+c_{1)},y=-sqrt(14e^x+c_{1)}