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Beliebt Rechnen >

4y^{''''}-5y^{''}-9y=0

Lösung

4 y^{^{''''}} - 5 y^{^{''}} - 9 y = 0

Lösung

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

Schritte zur Lösung

4 y^{(4)} (t) - 5 y^{''} (t) - 9 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-3y^{''}-34y^'-48y=0

y^{^{'''}} - 3 y^{^{''}} - 34 y^{^{'}} - 48 y = 0

2y^{''}-11y^'+5y=0,y(0)=13,y^'(0)=47

2 y^{^{''}} - 11 y^{^{'}} + 5 y = 0, y (0) = 13, y^{^{'}} (0) = 47

755x^{''}+2x^'+10x=0

755 x^{^{''}} + 2 x^{^{'}} + 10 x = 0

y^{''}+12y^'+27y=0,y(0)=12,y^'(0)=-84

y^{^{''}} + 12 y^{^{'}} + 27 y = 0, y (0) = 12, y^{^{'}} (0) = - 84

2(D^4+11D^3-4D^2-69D+34)y=0

2 (D^{4} + 11 D^{3} - 4 D^{2} - 69 D + 34) y = 0