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Beliebt Rechnen >

(d^2-3d+2)y=xe^x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-2y=16xe^{3x}

y^{^{''}} - y^{^{'}} - 2 y = 16 x e^{3 x}

y^{^{''}} - 4 y = 8 x

y^{''}+9y=cos(x)

y^{^{''}} + 9 y = cos (x)

(d^2y)/(dx^2)+(dy)/(dx)-12y=xe^{2x}

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 12 y = x e^{2 x}

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

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