de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

81y^{''''}-625y=0

Lösung

81 y^{^{''''}} - 625 y = 0

Lösung

y = c_{1} e^{\frac{5 t}{3}} + c_{2} e^{- \frac{5 t}{3}} + c_{3} cos (\frac{5 t}{3}) + c_{4} sin (\frac{5 t}{3})

Schritte zur Lösung

81 y^{(4)} (t) - 625 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{5 t}{3}} + c_{2} e^{- \frac{5 t}{3}} + c_{3} cos (\frac{5 t}{3}) + c_{4} sin (\frac{5 t}{3})

y = c_{1} e^{\frac{5 t}{3}} + c_{2} e^{- \frac{5 t}{3}} + c_{3} cos (\frac{5 t}{3}) + c_{4} sin (\frac{5 t}{3})

Graph

Beliebte Beispiele

(d^{6} - 1) y = 0

y^{''}+16y=0,y(0)=0,y(1)=1

y^{^{''}} + 16 y = 0, y (0) = 0, y (1) = 1

12y^{''}+64y=0,y(0)=4,y^'(0)=7

12 y^{^{''}} + 64 y = 0, y (0) = 4, y^{^{'}} (0) = 7

y^{''}-8y^'+25y=0,y(0)=e^{4x}cos(3x)

y^{^{''}} - 8 y^{^{'}} + 25 y = 0, y (0) = e^{4 x} cos (3 x)

81y^{''''}=256y

81 y^{^{''''}} = 256 y