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Beliebt Rechnen >

36y^{''}-36y^'+13y=0

Lösung

36 y^{^{''}} - 36 y^{^{'}} + 13 y = 0

Lösung

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

Schritte zur Lösung

36 y^{''} (t) - 36 y^{'} (t) + 13 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+24y^'-10y=0

y^{^{''}} + 24 y^{^{'}} - 10 y = 0

81 y^{^{''}} - 64 y = 0

9y^{''}-12y^'+4y=0,y(0)=2,y^'(0)=-2

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = - 2

y^{'''}-3y^{''}-46y^'-72y=0

y^{^{'''}} - 3 y^{^{''}} - 46 y^{^{'}} - 72 y = 0