de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}=-3y^{''}+y^'

Lösung

y^{^{'''}} = - 3 y^{^{''}} + y^{^{'}}

Lösung

y = c_{1} + c_{2} e^{\frac{( - 3 + 13 ) t}{2}} + c_{3} e^{\frac{( - 3 - 13 ) t}{2}}

Schritte zur Lösung

y^{'''} (t) = - 3 y^{''} (t) + y^{'} (t)

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{( - 3 + 13 ) t}{2}} + c_{3} e^{\frac{( - 3 - 13 ) t}{2}}

y = c_{1} + c_{2} e^{\frac{( - 3 + 13 ) t}{2}} + c_{3} e^{\frac{( - 3 - 13 ) t}{2}}

Graph

Beliebte Beispiele

y^{''''}-y=0,y(0)=2

y^{^{''''}} - y = 0, y (0) = 2

0.0650400000000…f(x)=(d^2f)/(dx^2)

0.0650400000000 \dots f (x) = \frac{d ^{2} f}{d x ^{2}}

y^{''}+6y^'=0,y(0)=2,y^'(0)=42

y^{^{''}} + 6 y^{^{'}} = 0, y (0) = 2, y^{^{'}} (0) = 42

2y^{''}+35y=0,y(0)=7,y^'(0)=9

2 y^{^{''}} + 35 y = 0, y (0) = 7, y^{^{'}} (0) = 9

4y^{''}-0y^'-9y=0

4 y^{^{''}} - 0 y^{^{'}} - 9 y = 0