en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+xe^y=0

Solution

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

Solution

y = - ln (\frac{x ^{2}}{2} - c_{1})

Solution steps

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

Solve separable ODE:

y = - ln (\frac{x ^{2}}{2} - c_{1})

y = - ln (\frac{x ^{2}}{2} - c_{1})

Popular Examples

y^{^{'}} + (x + 7) y = 0

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

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

ydx+(1+x^2)arctan(x)dy=0

y d x + (1 + x^{2}) arctan (x) d y = 0

y^'cos(x)+(3y-1)sec(x)=0,y(1/4 pi)= 4/3

y^{^{'}} cos (x) + (3 y - 1) sec (x) = 0, y (\frac{1}{4} π) = \frac{4}{3}

x^'=(1+x)/(1+t)

x^{^{'}} = \frac{1 + x}{1 + t}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+xe^y=0 ?
The solution for (dy)/(dx)+xe^y=0 is y=-ln((x^2)/2-c_{1})