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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{15 t}{4}) + c_{2} sin (\frac{15 t}{4}))

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{15 t}{4}) + c_{2} sin (\frac{15 t}{4}))

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{15 t}{4}) + c_{2} sin (\frac{15 t}{4}))

Graph

Beliebte Beispiele

y^{'''}-8y^{''}+16y^'=0

y^{^{'''}} - 8 y^{^{''}} + 16 y^{^{'}} = 0

y^{''}+5y^'-6y=0,y(0)=-5,y^'(0)=37

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = - 5, y^{^{'}} (0) = 37

y^{''}+2y^'=-4y

y^{^{''}} + 2 y^{^{'}} = - 4 y

y^{^{''}} = y^{^{'}} + y

y^{''}+4y=0,y(0)=3,y^'(0)=-2

y^{^{''}} + 4 y = 0, y (0) = 3, y^{^{'}} (0) = - 2