What is the solution for (dy)/(dx)+x^2y=5x^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+x^2y=5x^2

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

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 5

Solution steps

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

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 5

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 5

\frac{d x}{d y} = k x (y)

y^{^{'}} = 2 (t + 1) y - 1

\frac{d v}{d t} = 32.2 - \frac{1}{40} v

\frac{d P}{d t} = (0.1) P - (0.05) P (t)^{2}

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

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