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Popular Calculus >

1/y (dy)/(dx)=e^x+ln(y)

Solution

\frac{1}{y} \frac{d y}{d x} = e^{x} + ln (y)

Solution

y = e^{c_{1} e^{x} + x e^{x}}

Solution steps

\frac{1}{y} \frac{d y}{d x} = e^{x} + ln (y)

Solve exact ODE:

y = e^{c_{1} e^{x} + x e^{x}}

y = e^{c_{1} e^{x} + x e^{x}}

Graph

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f(z)=sqrt((z-8)/(z+8))

Frequently Asked Questions (FAQ)

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