en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=3x(1-y)

Solution

y^{^{'}} = 3 x (1 - y)

Solution

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

Solution steps

y^{'} (x) = 3 x (1 - y)

Solve separable ODE:

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

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

Graph

Popular Examples

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

\frac{d y}{d x} = 3 x^{2} y, y = 2, x = 3

(dz)/(dt)=6te^{5z},t(0)=0

\frac{d z}{d t} = 6 t e^{5 z}, t (0) = 0

(dx}{dy}=\frac{4xln(x))/y

\frac{d x}{d y} = \frac{4 x ln ( x )}{y}

(dx)/(dt)= 3/(xe^{t+6x)}

\frac{d x}{d t} = \frac{3}{x e ^{t + 6 x}}

y^'+2xy^2=0,y(1/2)=-4

y^{^{'}} + 2 x y^{2} = 0, y (\frac{1}{2}) = - 4

Frequently Asked Questions (FAQ)

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