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Beliebt Rechnen >

(d^2-3d)y=x^2+2x-6

Lösung

(d^{2} - 3 d) y = x^{2} + 2 x - 6

Lösung

y = c_{1} e^{3 x} + c_{2} - \frac{x ^{3}}{9} - \frac{4 x ^{2}}{9} + \frac{46 x}{27}

Schritte zur Lösung

(d^{2} - 3 d) y = x^{2} + 2 x - 6

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} - \frac{x ^{3}}{9} - \frac{4 x ^{2}}{9} + \frac{46 x}{27}

y = c_{1} e^{3 x} + c_{2} - \frac{x ^{3}}{9} - \frac{4 x ^{2}}{9} + \frac{46 x}{27}

Graph

Beliebte Beispiele

y^{''}+y=-8xcos(x)

x^{''}-x^'-12x=2sinh^2(t)

(D^2-2D)y=e^xsin(x)

y^{''}-81y=9,y(0)=1,y^'(0)=0

y^{''}-10y^'+21y=e^{7t},y(0)=0,y^'(0)=0