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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{34 t} + e^{- \frac{3 4 t}{2}} (c_{2} cos (\frac{3 3 4 t}{2}) + c_{3} sin (\frac{3 3 4 t}{2}))

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{34 t} + e^{- \frac{3 4 t}{2}} (c_{2} cos (\frac{3 3 4 t}{2}) + c_{3} sin (\frac{3 3 4 t}{2}))

y = c_{1} e^{34 t} + e^{- \frac{3 4 t}{2}} (c_{2} cos (\frac{3 3 4 t}{2}) + c_{3} sin (\frac{3 3 4 t}{2}))

Graph

Beliebte Beispiele

2y^{''}-3y^'+y=0,y(0)=0,y^'(0)=1

2 y^{^{''}} - 3 y^{^{'}} + y = 0, y (0) = 0, y^{^{'}} (0) = 1

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

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

y^{''}-2y^'+5y=0,y(0)=1,y^'(0)=3

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 3

(d^{3} + 1) y = 0