What is the solution for (xdy)/(dx)=5xe^x-y+9x^2 ?

The solution for (xdy)/(dx)=5xe^x-y+9x^2 is y=(5(e^xx-e^x))/x+3x^2+(c_{1})/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(xdy)/(dx)=5xe^x-y+9x^2

\frac{x d y}{d x} = 5 x e^{x} - y + 9 x^{2}

y = \frac{5 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

Solution steps

\frac{x d y}{d x} = 5 x e^{x} - y + 9 x^{2}

Solve linear ODE:

y = \frac{5 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

y = \frac{5 ( e ^{x} x - e ^{x} )}{x} + 3 x^{2} + \frac{c _{1}}{x}

\int 5 x^{2} e^{6 x} d x

\int sec (t) d t

\frac{d y}{d x}, 4 x y = 3

\frac{d}{d t} (- 2 a sin (2 t) + b cos (2 t) \cdot 2)

\int \frac{x ^{2} - 2}{x ^{8}} d x

What is the solution for (xdy)/(dx)=5xe^x-y+9x^2 ?
The solution for (xdy)/(dx)=5xe^x-y+9x^2 is y=(5(e^xx-e^x))/x+3x^2+(c_{1})/x