What is the solution for (dy)/(dx)= 1/(ye^x) ?

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

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(dy)/(dx)= 1/(ye^x)

\frac{d y}{d x} = \frac{1}{y e ^{x}}

y = \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}, y = - \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}

Solution steps

\frac{d y}{d x} = \frac{1}{y e ^{x}}

Solve separable ODE:

y = \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}, y = - \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}

y = \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}, y = - \frac{- 2 + 2 c _{1} e ^{x}}{e ^{x}}

\frac{1}{x} y^{^{'}} = \frac{y}{x ^{2}}

\frac{d y}{d x} y = (cos^{4} (sin (5 x)))

\frac{d y}{d x} = - \frac{7}{5} x^{4} y^{2}

y^{^{'}} + 2 y x = 0

y^{^{'}} = 8 t cos^{2} (y)

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