en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=x^2-3x^2y

Solution

y^{^{'}} = x^{2} - 3 x^{2} y

Solution

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

Solution steps

y^{'} (x) = x^{2} - 3 x^{2} y

Solve separable ODE:

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

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

Graph

Popular Examples

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

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

(dy)/(dx)y=sqrt(x^2+8)

\frac{d y}{d x} y = x^{2} + 8

(ln(y))^3(dy)/(dx)=x^3y,y(1)=e^2

(ln (y))^{3} \frac{d y}{d x} = x^{3} y, y (1) = e^{2}

\frac{1}{y ^{2}} y^{^{'}} = 2 x

(dy}{dx}=\frac{y^2+1)/x ,y(pi/4)=1

\frac{d y}{d x} = \frac{y ^{2} + 1}{x}, y (\frac{π}{4}) = 1

Frequently Asked Questions (FAQ)

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