de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

64y^{''}+144y^'+83y=0

Lösung

64 y^{^{''}} + 144 y^{^{'}} + 83 y = 0

Lösung

y = e^{- \frac{9 t}{8}} (c_{1} cos (\frac{t}{2 ^{\frac{5}{2}}}) + c_{2} sin (\frac{t}{2 ^{\frac{5}{2}}}))

Schritte zur Lösung

64 y^{''} (t) + 144 y^{'} (t) + 83 y = 0

Solve linear ODE:

y = e^{- \frac{9 t}{8}} (c_{1} cos (\frac{t}{2 ^{\frac{5}{2}}}) + c_{2} sin (\frac{t}{2 ^{\frac{5}{2}}}))

y = e^{- \frac{9 t}{8}} (c_{1} cos (\frac{t}{2 ^{\frac{5}{2}}}) + c_{2} sin (\frac{t}{2 ^{\frac{5}{2}}}))

Graph

Beliebte Beispiele

x^{''}+2*x^'+x=0

x^{^{''}} + 2 \cdot x^{^{'}} + x = 0

0.2x^{''}+4x^'+20x=0

0.2 x^{^{''}} + 4 x^{^{'}} + 20 x = 0

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

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

(D^4+D^3-3D^2-5D-2)y=0

(D^{4} + D^{3} - 3 D^{2} - 5 D - 2) y = 0

x^{''}+5x^'+6x=0,x(0)=2,x^'(0)=3

x^{^{''}} + 5 x^{^{'}} + 6 x = 0, x (0) = 2, x^{^{'}} (0) = 3