de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

2y^{''}+9y=0

Lösung

2 y^{^{''}} + 9 y = 0

Lösung

y = c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})

Schritte zur Lösung

2 y^{''} (t) + 9 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})

y = c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})

Graph

Beliebte Beispiele

5f^{''}(t)+50f^'(t)+f(t)=0

5 f^{^{''}} (t) + 50 f^{^{'}} (t) + f (t) = 0

(d^2y)/(dx^2)=-6y

\frac{d ^{2} y}{d x ^{2}} = - 6 y

(2000)y^{''}+18000y^'+5000y=0

(2000) y^{^{''}} + 18000 y^{^{'}} + 5000 y = 0

y^{''''}-3y^{'''}-2y^{''}+2y^'+12y=0

y^{^{''''}} - 3 y^{^{'''}} - 2 y^{^{''}} + 2 y^{^{'}} + 12 y = 0

(D^2+2)3(D^2-3)2y=0

(D^{2} + 2) 3 (D^{2} - 3) 2 y = 0