What is the solution for x^3(dy)/(dx)+(2-3x^2)y=x^3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

x^3(dy)/(dx)+(2-3x^2)y=x^3

x^{3} \frac{d y}{d x} + (2 - 3 x^{2}) y = x^{3}

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

Solution steps

x^{3} \frac{d y}{d x} + (2 - 3 x^{2}) y = x^{3}

Solve linear ODE:

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

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

d er i v a t i v e ln (x e^{- 8 x})

\frac{d}{d x} (\frac{4 x}{4 + x})

\int (7 x + 6)^{4} d x

t \to 0 lim (\frac{6}{t} - \frac{6}{t ^{2} + t})

\int \frac{x ^{3}}{25 - x ^{2}} d x

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