en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

sum from n=0 to infinity of 9(2/3)^n

n = 0 \sum \infty 9 (\frac{2}{3})^{n}

(dy)/(dt)=9y-y^2-81/4

\frac{d y}{d t} = 9 y - y^{2} - \frac{81}{4}

d/(da)(sin^4(a)-cos^4(a)+2cos^2(a))

\frac{d}{d a} (sin^{4} (a) - cos^{4} (a) + 2 cos^{2} (a))

integral of (sin(2x))/(1+cos^4(x))

\int \frac{sin ( 2 x )}{1 + cos ^{4} ( x )} d x

derivative of y=(x+1)/x derivative of

y = \frac{x + 1}{x}

Frequently Asked Questions (FAQ)

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