What is the solution for x(dy)/(dx)+(3x+1)y=e^{3x} ?

The solution for x(dy)/(dx)+(3x+1)y=e^{3x} is y=(e^{3x})/(6x)+(c_{1})/(e^{3x)x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x(dy)/(dx)+(3x+1)y=e^{3x}

x \frac{d y}{d x} + (3 x + 1) y = e^{3 x}

y = \frac{e ^{3 x}}{6 x} + \frac{c _{1}}{e ^{3 x} x}

Solution steps

x \frac{d y}{d x} + (3 x + 1) y = e^{3 x}

Solve linear ODE:

y = \frac{e ^{3 x}}{6 x} + \frac{c _{1}}{e ^{3 x} x}

y = \frac{e ^{3 x}}{6 x} + \frac{c _{1}}{e ^{3 x} x}

(6 y + 2 t - 7) d t + (8 y + 6 t - 1) d y = 0

\int \frac{x}{3 - 2 x - x ^{2}} d x

y^{^{'}} = t y^{2}

\int_{2}^{\frac{1}{x}} arctan (t) d t

(cos (π))^{^{'}}

What is the solution for x(dy)/(dx)+(3x+1)y=e^{3x} ?
The solution for x(dy)/(dx)+(3x+1)y=e^{3x} is y=(e^{3x})/(6x)+(c_{1})/(e^{3x)x}