de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dt)+2y=1,y(0)= 5/2

Lösung

\frac{d y}{d t} + 2 y = 1, y (0) = \frac{5}{2}

Lösung

y = \frac{1}{2} + \frac{2}{e ^{2 t}}

Schritte zur Lösung

\frac{d y}{d t} + 2 y = 1

Solve linear ODE:

y = \frac{1}{2} + \frac{2}{e ^{2 t}}

y = \frac{1}{2} + \frac{2}{e ^{2 t}}

Graph

Beliebte Beispiele

(\partial)/(\partial z)(xy-3xz+yz)

\frac{\partial}{\partial z} (x y - 3 x z + yz)

(d^3)/(dx^3)(x^4-3x^2+6x-5)

\frac{d ^{3}}{d x ^{3}} (x^{4} - 3 x^{2} + 6 x - 5)

integral of-2e^{-x/2}

\int - 2 e^{- \frac{x}{2}} d x

derivative of arctan(sqrt((1-x/(1+x))))

\frac{d}{d x} (arctan (\frac{1 - x}{1 + x}))

taylor x^{-2},3

t a y l or x^{- 2}, 3