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Popular >

e^x+e^y(dy)/(dx)=0

Solution

e^{x} + e^{y} \frac{d y}{d x} = 0

Solution

y = ln (- e^{x} + c_{1})

Solution steps

e^{x} + e^{y} \frac{d y}{d x} = 0

Solve separable ODE:

y = ln (- e^{x} + c_{1})

y = ln (- e^{x} + c_{1})

Graph

Popular Examples

limit as x approaches 3-of |-x^2+9|

x \to 3 - lim (- x^{2} + 9)

limit as x approaches 3 of 2x+1

x \to 3 lim (2 x + 1)

integral of e^{-cos(3x)}sin(3x)

\int e^{- c o s (3 x)} sin (3 x) d x

x(dy)/(dx)-2y=3x^2+2x

x \frac{d y}{d x} - 2 y = 3 x^{2} + 2 x

sum from n=1 to infinity of n/(n^4+1)

n = 1 \sum \infty \frac{n}{n ^{4} + 1}

Frequently Asked Questions (FAQ)

What is the solution for e^x+e^y(dy)/(dx)=0 ?
The solution for e^x+e^y(dy)/(dx)=0 is y=ln(-e^x+c_{1})