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Beliebt Rechnen >

D(D-1)^3(y)=(x^2+2x)e^x

Lösung

D (D - 1)^{3} (y) = (x^{2} + 2 x) e^{x}

Lösung

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} + c_{4} x^{2} e^{x} + \frac{e ^{x} x ^{5}}{60}

Schritte zur Lösung

D (D - 1)^{3} y = (x^{2} + 2 x) e^{x}

Solve linear ODE:

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} + c_{4} x^{2} e^{x} + \frac{e ^{x} x ^{5}}{60}

y = c_{1} + c_{2} e^{x} + c_{3} x e^{x} + c_{4} x^{2} e^{x} + \frac{e ^{x} x ^{5}}{60}

Graph

Beliebte Beispiele

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

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

y^{''}+y^'+64y=5cos(2t)

y^{^{''}} + y^{^{'}} + 64 y = 5 cos (2 t)

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

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

y^{''}-y^'+14y=(4+ex)/2

y^{^{''}} - y^{^{'}} + 14 y = \frac{4 + e x}{2}

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

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