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Beliebt Rechnen >

y^{''}+y^'-2y=-260sin(3t)

Lösung

y^{^{''}} + y^{^{'}} - 2 y = - 260 sin (3 t)

Lösung

y = c_{1} e^{t} + c_{2} e^{- 2 t} + 22 sin (3 t) + 6 cos (3 t)

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 2 y = - 260 sin (3 t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- 2 t} + 22 sin (3 t) + 6 cos (3 t)

y = c_{1} e^{t} + c_{2} e^{- 2 t} + 22 sin (3 t) + 6 cos (3 t)

Graph

Beliebte Beispiele

y^{''}-9y=81x^3

y^{^{''}} - 9 y = 81 x^{3}

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

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

y^{''}+2y^'+y=2x+5-e^{-2x}

y^{^{''}} + 2 y^{^{'}} + y = 2 x + 5 - e^{- 2 x}

y^{''}-y^'-2y=4t^2,y(0)=1,y^'(0)=4

y^{^{''}} - y^{^{'}} - 2 y = 4 t^{2}, y (0) = 1, y^{^{'}} (0) = 4

y^{''}+25y=2csc^2(5t)

y^{^{''}} + 25 y = 2 csc^{2} (5 t)