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Beliebt Rechnen >

y^{''}-12y^'+36y=4e^{6x}

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 4 e^{6 x}

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 2 x^{2} e^{6 x}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 4 e^{6 x}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 2 x^{2} e^{6 x}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 2 x^{2} e^{6 x}

Graph

Beliebte Beispiele

y^{''}+3y^'+5y=sin(t),y(0)=1,y(0)=0

y^{^{''}} + 3 y^{^{'}} + 5 y = sin (t), y (0) = 1, y (0) = 0

x^{''}-25x=3e^{2t}

x^{^{''}} - 25 x = 3 e^{2 t}

(D^3+3D^2-4)y=xe^{-2x}

(D^{3} + 3 D^{2} - 4) y = x e^{- 2 x}

y^{''}-y=1,y(0)=0

y^{^{''}} - y = 1, y (0) = 0

y^{''}-4y^'+4y=xsin(x)

y^{^{''}} - 4 y^{^{'}} + 4 y = x sin (x)