What is the solution for (dy)/(dx)+(3/x)y=-4x-10 ?

The solution for (dy)/(dx)+(3/x)y=-4x-10 is y=-(4x^2)/5-(5x)/2+(c_{1})/(x^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+(3/x)y=-4x-10

\frac{d y}{d x} + (\frac{3}{x}) y = - 4 x - 10

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

Solution steps

\frac{d y}{d x} + (\frac{3}{x}) y = - 4 x - 10

Solve linear ODE:

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

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

\int \frac{1}{x ^{2} - 4} d x

\frac{d y}{d x} = \frac{2}{x}

\frac{d}{d x} (\frac{a}{1 + \frac{b}{x + c}})

\int 6 x^{2} d x

x \to 0 lim (x - \frac{1}{ln ∣ x ∣})

What is the solution for (dy)/(dx)+(3/x)y=-4x-10 ?
The solution for (dy)/(dx)+(3/x)y=-4x-10 is y=-(4x^2)/5-(5x)/2+(c_{1})/(x^3)