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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

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