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Beliebt Rechnen >

linear (d^2x)/(dt^2)+x=6cos(2t),x(0)=3

Lösung

linear

\frac{d ^{2} x}{d t ^{2}} + x = 6 cos (2 t), x (0) = 3

Lösung

x = 5 cos (t) + c_{2} sin (t) - 2 cos (2 t)

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + x = 6 cos (2 t)

Solve linear ODE:

x = 5 cos (t) + c_{2} sin (t) - 2 cos (2 t)

x = 5 cos (t) + c_{2} sin (t) - 2 cos (2 t)

Graph

Beliebte Beispiele

1/2 y^{''}+2y=4tan(2t)-1/2 e^{2t}

\frac{1}{2} y^{^{''}} + 2 y = 4 tan (2 t) - \frac{1}{2} e^{2 t}

y^{''}+4y^'+4y=2x+6,y(0)=1,y^'(0)= 1/2

y^{^{''}} + 4 y^{^{'}} + 4 y = 2 x + 6, y (0) = 1, y^{^{'}} (0) = \frac{1}{2}

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

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

y^{''}-6y^'=2x+1

y^{^{''}} - 6 y^{^{'}} = 2 x + 1

y^{''}+3y^'+2y=24e^{-2x}

y^{^{''}} + 3 y^{^{'}} + 2 y = 24 e^{- 2 x}