en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral of cos^2(5x)

\int cos^{2} (5 x) d x

(1+e^xy+xe^xy)dx+(xe^x+2)dy=0

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

integral of (9x^3-5x^2+3x)/x

\int \frac{9 x ^{3} - 5 x ^{2} + 3 x}{x} d x

derivative of e^{0.04t}derivative of

e^{0.04 t}

limit as x approaches-3 of (x^2-9)/(x-3)

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

Frequently Asked Questions (FAQ)

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