What is the solution for x(dy)/(dx)+(1+x)y=e^{-x}sin(2x) ?

The solution for x(dy)/(dx)+(1+x)y=e^{-x}sin(2x) is y=-(cos(2x))/(2e^xx)+(c_{1})/(e^xx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x(dy)/(dx)+(1+x)y=e^{-x}sin(2x)

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

y = - \frac{cos ( 2 x )}{2 e ^{x} x} + \frac{c _{1}}{e ^{x} x}

Solution steps

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

Solve linear ODE:

y = - \frac{cos ( 2 x )}{2 e ^{x} x} + \frac{c _{1}}{e ^{x} x}

y = - \frac{cos ( 2 x )}{2 e ^{x} x} + \frac{c _{1}}{e ^{x} x}

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

\frac{\partial}{\partial x} (4 x e^{x y})

e^{c o s (x)} + cos (e^{x})

x \to 1 lim (1 - x^{2})

\frac{d}{d x} (\frac{x ^{3} + 5}{x})

What is the solution for x(dy)/(dx)+(1+x)y=e^{-x}sin(2x) ?
The solution for x(dy)/(dx)+(1+x)y=e^{-x}sin(2x) is y=-(cos(2x))/(2e^xx)+(c_{1})/(e^xx)