de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-4y=9e^t,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} - 4 y = 9 e^{t}, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = (- \frac{3}{4} + 3) e^{2 t} + \frac{3}{4} e^{- 2 t} - 3 e^{t}

Schritte zur Lösung

y^{''} (t) - 4 y = 9 e^{t}

Solve linear ODE:

y = (- \frac{3}{4} + 3) e^{2 t} + \frac{3}{4} e^{- 2 t} - 3 e^{t}

y = (- \frac{3}{4} + 3) e^{2 t} + \frac{3}{4} e^{- 2 t} - 3 e^{t}

Graph

Beliebte Beispiele

limit as x approaches-1 of 5-2x-x^2

x \to - 1 lim (5 - 2 x - x^{2})

integral of (2^x-3^x)^0

\int (2^{x} - 3^{x})^{0} d x

derivative of 7sec(x-2x)

\frac{d}{d x} (7 sec (x) - 2 x)

d/(dy)((100y)/(x+y))=0

\frac{d}{d y} (\frac{100 y}{x + y}) = 0

derivative 1/(13x^2)

d er i v a t i v e \frac{1}{13 x ^{2}}