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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 4 x^{2} e^{6 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 4 x^{2} e^{6 x}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + 4 x^{2} e^{6 x}

Graph

Beliebte Beispiele

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}

y^{''}+4y=-8sin(2t)

y^{^{''}} + 4 y = - 8 sin (2 t)