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Beliebt Rechnen >

(d^2-4d+4)*y=8x^2+e^{2x}

Lösung

(d^{2} - 4 d + 4) \cdot y = 8 x^{2} + e^{2 x}

Lösung

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

Schritte zur Lösung

(d^{2} - 4 d + 4) y = 8 x^{2} + e^{2 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+6y^{''}=x^2

y^{^{'''}} + 6 y^{^{''}} = x^{2}

(d^3+4d)y=sin^2(x)

(d^{3} + 4 d) y = sin^{2} (x)

y^{''}+y^'=t^2+2t

y^{^{''}} + y^{^{'}} = t^{2} + 2 t

y^{''}+9y=10,e^{-t}y(0)y^'(0)=0

y^{^{''}} + 9 y = 10, e^{- t} y (0) y^{^{'}} (0) = 0

y^{''}-4y^'+3y=xcos(x)

y^{^{''}} - 4 y^{^{'}} + 3 y = x cos (x)