en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

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

Solution

y = e^{- x^{2} + 6 x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- x^{2} + 6 x + c_{1}}

y = e^{- x^{2} + 6 x + c_{1}}

Graph

Popular Examples

integral of (x^2)/(x^2-3x+2)

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

derivative of f(x)=12

d er i v a t i v e f (x) = 12

derivative of f(x)=3-(18)/(5x^{1/10)}

d er i v a t i v e f (x) = 3 - \frac{18}{5 x ^{\frac{1}{10}}}

derivative of g(u)=sqrt(6u)+sqrt(5u)

d er i v a t i v e g (u) = 6 u + 5 u

integral of 12θsec^2(θ)

\int 12 θ sec^{2} (θ) d θ

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=2y(3-x) ?
The solution for (dy)/(dx)=2y(3-x) is y=e^{-x^2+6x+c_{1}}