en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=-2y,y(0)=3

Solution

\frac{d y}{d x} = - 2 y, y (0) = 3

Solution

y = 3 e^{- 2 x}

Solution steps

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

Solve separable ODE:

y = 3 e^{- 2 x}

y = 3 e^{- 2 x}

Graph

Popular Examples

derivative of (3x^2+ln(x)*(5x^3)^x)

\frac{d}{d x} ((3 x^{2} + ln (x)) \cdot (5 x^{3})^{x})

integral of 7sin^5(x)cos(x)

\int 7 sin^{5} (x) cos (x) d x

limit as x approaches infinity of (3x-2)/(6x+1)

x \to \infty lim (\frac{3 x - 2}{6 x + 1})

\frac{d ^{2} y}{d t ^{2}}

derivative of f(x)=arccot(e^x)derivative of

f (x) = arccot (e^{x})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-2y,y(0)=3 ?
The solution for (dy)/(dx)=-2y,y(0)=3 is y=3e^{-2x}