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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

256 y^{(4)} (t) = 81 y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

3 y^{^{''}} + 15 y = 0

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

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

1/4 x^{''}+10x^'+1000x=0

\frac{1}{4} x^{^{''}} + 10 x^{^{'}} + 1000 x = 0

4y^{'''}-7y^{''}-34y^'-8y=0

4 y^{^{'''}} - 7 y^{^{''}} - 34 y^{^{'}} - 8 y = 0

y^{''}-6y^'+13y=0,y(0)=1,y^'(0)=5

y^{^{''}} - 6 y^{^{'}} + 13 y = 0, y (0) = 1, y^{^{'}} (0) = 5