de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}+16x^'=144,x(0)=5,x^'(0)=12

Lösung

x^{^{''}} + 16 x^{^{'}} = 144, x (0) = 5, x^{^{'}} (0) = 12

Lösung

x = 5 + \frac{3}{16} - \frac{3}{16} e^{- 16 t} + 9 t

Schritte zur Lösung

x^{''} (t) + 16 x^{'} (t) = 144

Solve linear ODE:

x = 5 + \frac{3}{16} - \frac{3}{16} e^{- 16 t} + 9 t

x = 5 + \frac{3}{16} - \frac{3}{16} e^{- 16 t} + 9 t

Graph

Beliebte Beispiele

y^{''}-90y=sin(2x)

y^{^{''}} - 90 y = sin (2 x)

y^{''}+25*y= 1/(sin(5*x))

y^{^{''}} + 25 \cdot y = \frac{1}{sin ( 5 \cdot x )}

y^{''}+y=3sin(2x)+5xcos(2x)

y^{^{''}} + y = 3 sin (2 x) + 5 x cos (2 x)

-6y^{''}+5y^'-1y=1t^2-1t+6e^2t

- 6 y^{^{''}} + 5 y^{^{'}} - 1 y = 1 t^{2} - 1 t + 6 e^{2} t

(d^2y)/(dx^2)+2y=6x,y(0)=0,y^'(0)=0

\frac{d ^{2} y}{d x ^{2}} + 2 y = 6 x, y (0) = 0, y^{^{'}} (0) = 0