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Beliebt Rechnen >

x^{''}+4x=sin(t)

Lösung

x^{^{''}} + 4 x = sin (t)

Lösung

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{3} sin (t)

Schritte zur Lösung

x^{''} (t) + 4 x = sin (t)

Solve linear ODE:

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{3} sin (t)

x = c_{1} cos (2 t) + c_{2} sin (2 t) + \frac{1}{3} sin (t)

Graph

Beliebte Beispiele

3y^{''}-2y^'-y=x^2

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

D (t) = t + 5

y^{''}+2y^'-y=t^{-1}e^t

y^{^{''}} + 2 y^{^{'}} - y = t^{- 1} e^{t}

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

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

y^{''}-5y^'+6y=3x^2+5x

y^{^{''}} - 5 y^{^{'}} + 6 y = 3 x^{2} + 5 x