en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)x=e^x(y-1)

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dv)/(dt)=14-1.4v

\frac{d v}{d t} = 14 - 1.4 v

(dy)/(dx)=6x^2sqrt(y),y>0

\frac{d y}{d x} = 6 x^{2} y, y > 0

(1+y)((dy)/(dx))+sin^2(x)=1

(1 + y) (\frac{d y}{d x}) + sin^{2} (x) = 1

(dy)/(dx)= 1/(ye^x)

\frac{d y}{d x} = \frac{1}{y e ^{x}}

1/x y^'= y/(x^2)

\frac{1}{x} y^{^{'}} = \frac{y}{x ^{2}}

Frequently Asked Questions (FAQ)

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