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Beliebt Rechnen >

y^{''}+3y=e^t

Lösung

y^{^{''}} + 3 y = e^{t}

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{4} e^{t}

Schritte zur Lösung

y^{''} (t) + 3 y = e^{t}

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{4} e^{t}

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{1}{4} e^{t}

Graph

Beliebte Beispiele

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

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

y^{''}+14y^'+49y=t-2e-7t

y^{^{''}} + 14 y^{^{'}} + 49 y = t - 2 e - 7 t

y^{''}+9y=(x^2+1)e^{3x}

y^{^{''}} + 9 y = (x^{2} + 1) e^{3 x}

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

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

3x^{''}+12x=sin(2t)

3 x^{^{''}} + 12 x = sin (2 t)