de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(D^2-D-2)y=6e-t^2

Lösung

(D^{2} - D - 2) y = 6 e - t^{2}

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- t} + \frac{t ^{2}}{2} - \frac{t}{2} - \frac{12 e - 3}{4}

Schritte zur Lösung

(D^{2} - D - 2) y = 6 e - t^{2}

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- t} + \frac{t ^{2}}{2} - \frac{t}{2} - \frac{12 e - 3}{4}

y = c_{1} e^{2 t} + c_{2} e^{- t} + \frac{t ^{2}}{2} - \frac{t}{2} - \frac{12 e - 3}{4}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-y=19.2e^{4x}+60e^x

\frac{d ^{2} y}{d x ^{2}} - y = 19.2 e^{4 x} + 60 e^{x}

y^{''}-16y=7t,y(0)=0,y^'(0)=0

y^{^{''}} - 16 y = 7 t, y (0) = 0, y^{^{'}} (0) = 0

(d^2x)/(dt^2)-3(dx)/(dt)+2x=e^t

\frac{d ^{2} x}{d t ^{2}} - 3 \frac{d x}{d t} + 2 x = e^{t}

y^{''}-y=sin(3x)

y^{^{''}} - y = sin (3 x)

5y^{''}-19y^'-4y=1+4x

5 y^{^{''}} - 19 y^{^{'}} - 4 y = 1 + 4 x