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Beliebt Rechnen >

(d^2-2d+1)y=x^2e^2x

Lösung

(d^{2} - 2 d + 1) y = x^{2} e^{2} x

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + e^{2} x^{3} + 6 e^{2} x^{2} + 18 e^{2} x + 24 e^{2}

Schritte zur Lösung

(d^{2} - 2 d + 1) y = x^{2} e^{2} x

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + e^{2} x^{3} + 6 e^{2} x^{2} + 18 e^{2} x + 24 e^{2}

y = c_{1} e^{x} + c_{2} x e^{x} + e^{2} x^{3} + 6 e^{2} x^{2} + 18 e^{2} x + 24 e^{2}

Graph

Beliebte Beispiele

y^{''}-y^'-12y=e^{2x}+e^{x-2}

y^{^{''}} - y^{^{'}} - 12 y = e^{2 x} + e^{x - 2}

y^{''}-y^'=cos(2x)

y^{^{''}} - y^{^{'}} = cos (2 x)

y^{''}+3y^'-4y=2(5x+1)e^x

y^{^{''}} + 3 y^{^{'}} - 4 y = 2 (5 x + 1) e^{x}

y^{''}+9y=8cos(3x)+12sin(3x)

y^{^{''}} + 9 y = 8 cos (3 x) + 12 sin (3 x)

2y^{''}+27y=e^t-e^{-t},y(0)=0,y^'(0)=2

2 y^{^{''}} + 27 y = e^{t} - e^{- t}, y (0) = 0, y^{^{'}} (0) = 2