What is the solution for e^xy(dy)/(dx)=1 ?

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

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e^xy(dy)/(dx)=1

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

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

Solution steps

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

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}}

y = \frac{2}{x}, (- 2, - 1)

\int \frac{x}{2 x ^{3}} d x

x \to 1 lim (5 x^{5} - 8 x^{3} + 8)

\int 3 sin (4 x) + 4 sin (3 x) d x

\frac{d y}{d x} = x^{3} e^{x^{4}}

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