de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

2y^{''}-5y^'-7y=0,y^'(0)=3,y(0)=4

Lösung

2 y^{^{''}} - 5 y^{^{'}} - 7 y = 0, y^{^{'}} (0) = 3, y (0) = 4

Lösung

y = \frac{14 e ^{\frac{7 t}{2}}}{9} + \frac{22}{9} e^{- t}

Schritte zur Lösung

2 y^{''} (t) - 5 y^{'} (t) - 7 y = 0

Solve linear ODE:

y = \frac{14 e ^{\frac{7 t}{2}}}{9} + \frac{22}{9} e^{- t}

y = \frac{14 e ^{\frac{7 t}{2}}}{9} + \frac{22}{9} e^{- t}

Graph

Beliebte Beispiele

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

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

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