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Beliebt Rechnen >

y^{''}-y^'-6y=-468sin(3t)

Lösung

y^{^{''}} - y^{^{'}} - 6 y = - 468 sin (3 t)

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} + 30 sin (3 t) - 6 cos (3 t)

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 6 y = - 468 sin (3 t)

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} + 30 sin (3 t) - 6 cos (3 t)

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} + 30 sin (3 t) - 6 cos (3 t)

Graph

Beliebte Beispiele

3y^{''}-4y^'+y=5

3 y^{^{''}} - 4 y^{^{'}} + y = 5

y^{''}-4y^'+4y=e^{-x}(9x^2-3x-4)

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{- x} (9 x^{2} - 3 x - 4)

y^{''}+4y^'+3y=64e^t,y(0)=4,y^'(0)=7

y^{^{''}} + 4 y^{^{'}} + 3 y = 64 e^{t}, y (0) = 4, y^{^{'}} (0) = 7

x^{''}+x^'+2x=sin(t)

x^{^{''}} + x^{^{'}} + 2 x = sin (t)

q^{''}+10q^'+10000q=20(t)

q^{^{''}} + 10 q^{^{'}} + 10000 q = 20 (t)