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Beliebt Rechnen >

x^{''}-3x^'+2x=20sin(2t)

Lösung

x^{^{''}} - 3 x^{^{'}} + 2 x = 20 sin (2 t)

Lösung

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

Schritte zur Lösung

x^{''} (t) - 3 x^{'} (t) + 2 x = 20 sin (2 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-12y^'+36y=8e^{6x}

y^{^{''}} - 12 y^{^{'}} + 36 y = 8 e^{6 x}

x^{''}-5x^'+6x=12,x(0)=2,x^'(0)=0

x^{^{''}} - 5 x^{^{'}} + 6 x = 12, x (0) = 2, x^{^{'}} (0) = 0

y^{''}+2y^'+y=4e^x

y^{^{''}} + 2 y^{^{'}} + y = 4 e^{x}

y^{''}-2y^'+y=e^{t-1},y(1)=0,y^'(1)=5

y^{^{''}} - 2 y^{^{'}} + y = e^{t - 1}, y (1) = 0, y^{^{'}} (1) = 5

y^{''}-y^'=xe^{2x}

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