What is the solution for (dy)/(dx)+(4/x)y=4x+9 ?

The solution for (dy)/(dx)+(4/x)y=4x+9 is y=(2x^2)/3+(9x)/5+(c_{1})/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+(4/x)y=4x+9

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

y = \frac{2 x ^{2}}{3} + \frac{9 x}{5} + \frac{c _{1}}{x ^{4}}

Solution steps

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

Solve linear ODE:

y = \frac{2 x ^{2}}{3} + \frac{9 x}{5} + \frac{c _{1}}{x ^{4}}

y = \frac{2 x ^{2}}{3} + \frac{9 x}{5} + \frac{c _{1}}{x ^{4}}

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

2 e^{4 t}

x^{4}

f (x) = (3 x - x^{3}) (7 x + 6)

x \to 5 lim (\frac{1}{x ^{2}})

What is the solution for (dy)/(dx)+(4/x)y=4x+9 ?
The solution for (dy)/(dx)+(4/x)y=4x+9 is y=(2x^2)/3+(9x)/5+(c_{1})/(x^4)