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

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

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(dy)/(dx)y=e^x

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

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

Solution steps

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

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}

x \to 1 lim (\frac{5}{x ^{2} - 1})

\frac{d}{d x} (\frac{x ^{3}}{e ^{\frac{1}{x}}})

f (x) 6 - 7 x + 5 x^{2}

x \to \infty lim (8 x + 1)

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

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