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Beliebt Rechnen >

y^{'''}+2y^'-3y=0

Lösung

y^{^{'''}} + 2 y^{^{'}} - 3 y = 0

Lösung

y = c_{1} e^{t} + e^{- \frac{t}{2}} (c_{2} cos (\frac{11 t}{2}) + c_{3} sin (\frac{11 t}{2}))

Schritte zur Lösung

y^{'''} (t) + 2 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = c_{1} e^{t} + e^{- \frac{t}{2}} (c_{2} cos (\frac{11 t}{2}) + c_{3} sin (\frac{11 t}{2}))

y = c_{1} e^{t} + e^{- \frac{t}{2}} (c_{2} cos (\frac{11 t}{2}) + c_{3} sin (\frac{11 t}{2}))

Graph

Beliebte Beispiele

15y^{''''}+128y^{''}+25y=0

15 y^{^{''''}} + 128 y^{^{''}} + 25 y = 0

y^{''}-4y^'-5y=0,y(1)=0,y^'(1)=5

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (1) = 0, y^{^{'}} (1) = 5

x^{'''}-12x^{''}+48x^'-64x=0

x^{^{'''}} - 12 x^{^{''}} + 48 x^{^{'}} - 64 x = 0

y^{^{''}} = 4 y^{^{'}} - 3 y

(D^{2} + 3 D - 10) y = 0