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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

x \to 0 lim (x sin (\frac{1}{x}))

- 5 t^{2} + 75 t - 30

\int_{0}^{0} 1

\int_{0}^{6} (3 - ∣ x - 3 ∣) d x

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