de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+y^'-6y=0,y(0)=1,y^'(0)=1

Lösung

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 1, y^{^{'}} (0) = 1

Lösung

y = (1 - \frac{1}{5}) e^{2 t} + \frac{1}{5} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 6 y = 0

Solve linear ODE:

y = (1 - \frac{1}{5}) e^{2 t} + \frac{1}{5} e^{- 3 t}

y = (1 - \frac{1}{5}) e^{2 t} + \frac{1}{5} e^{- 3 t}

Graph

Beliebte Beispiele

derivative 1+2x^2

d er i v a t i v e 1 + 2 x^{2}

derivative ln(3+sqrt(x))

d er i v a t i v e ln (3 + x)

(dy)/(dx)+y=e^{4x}

\frac{d y}{d x} + y = e^{4 x}

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

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

limit as x approaches 3 of 3x-7

x \to 3 lim (3 x - 7)