What is the solution for x*(dy)/(dx)+(11+x)y=e^{-x} ?

The solution for x*(dy)/(dx)+(11+x)y=e^{-x} is y= 1/(11e^x)+(c_{1})/(e^xx^{11)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x*(dy)/(dx)+(11+x)y=e^{-x}

x \cdot \frac{d y}{d x} + (11 + x) y = e^{- x}

y = \frac{1}{11 e ^{x}} + \frac{c _{1}}{e ^{x} x ^{11}}

Solution steps

x \cdot \frac{d y}{d x} + (11 + x) y = e^{- x}

Solve linear ODE:

y = \frac{1}{11 e ^{x}} + \frac{c _{1}}{e ^{x} x ^{11}}

y = \frac{1}{11 e ^{x}} + \frac{c _{1}}{e ^{x} x ^{11}}

\int_{0}^{x^{2}} sin (t) d t

\frac{d}{d x} (\frac{x ^{\frac{3}{2}}}{3} - x^{\frac{1}{2}})

\frac{7}{r ^{3}}

f (t) = 8 t sin (π t)

\frac{d}{d x} (x^{2 n})

What is the solution for x*(dy)/(dx)+(11+x)y=e^{-x} ?
The solution for x*(dy)/(dx)+(11+x)y=e^{-x} is y= 1/(11e^x)+(c_{1})/(e^xx^{11)}