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Beliebt Rechnen >

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

Lösung

(d^{2} - 3 d + 2) y = x \cdot 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^{''}-4y^'+4y=12e^{2x}+x^2

y^{^{''}} - 4 y^{^{'}} + 4 y = 12 e^{2 x} + x^{2}

(d^3-2d+4)y=e^xcos(x)

(d^{3} - 2 d + 4) y = e^{x} cos (x)

(d^4-2d^2+1)*y=cos(x)

(d^{4} - 2 d^{2} + 1) \cdot y = cos (x)

(d^2-2d+4)y=e^xcos(x)

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

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

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