de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

f^{''}(t)+f^'(t)+1/16 f(t)=0

Lösung

f^{^{''}} (t) + f^{^{'}} (t) + \frac{1}{16} f (t) = 0

Lösung

f (t) = c_{1} e^{\frac{( - 2 + 3 ) t}{4}} + c_{2} e^{- \frac{( 2 + 3 ) t}{4}}

Schritte zur Lösung

f^{''} (t) + f^{'} (t) + \frac{1}{16} f (t) = 0

Solve linear ODE:

f (t) = c_{1} e^{\frac{( - 2 + 3 ) t}{4}} + c_{2} e^{- \frac{( 2 + 3 ) t}{4}}

f (t) = c_{1} e^{\frac{( - 2 + 3 ) t}{4}} + c_{2} e^{- \frac{( 2 + 3 ) t}{4}}

Graph

Beliebte Beispiele

6y^{''}+35y=0,y(0)=9,y^'(0)=8

6 y^{^{''}} + 35 y = 0, y (0) = 9, y^{^{'}} (0) = 8

y^{''}-y^'-12y=0,y(1)=0,y^'(1)=0

y^{^{''}} - y^{^{'}} - 12 y = 0, y (1) = 0, y^{^{'}} (1) = 0

0.25(d^2x)/(dt^2)+0.1(dx)/(dt)+x=0

0.25 \frac{d ^{2} x}{d t ^{2}} + 0.1 \frac{d x}{d t} + x = 0

(d^2x)/(dt^2)+9.8x=0

\frac{d ^{2} x}{d t ^{2}} + 9.8 x = 0

y^{^{''}} + 0.75 y = 0