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Beliebt Rechnen >

(d^2-4d-12)y=(x-1)e^{2x}

Lösung

(d^{2} - 4 d - 12) \cdot y = (x - 1) \cdot e^{2 x}

Lösung

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{e ^{2 x} x}{16} + \frac{1}{16} e^{2 x}

Schritte zur Lösung

(d^{2} - 4 d - 12) y = (x - 1) e^{2 x}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{e ^{2 x} x}{16} + \frac{1}{16} e^{2 x}

y = c_{1} e^{6 x} + c_{2} e^{- 2 x} - \frac{e ^{2 x} x}{16} + \frac{1}{16} e^{2 x}

Graph

Beliebte Beispiele

(d^2-6d+9)y=2e^{3x}

(d^{2} - 6 d + 9) y = 2 e^{3 x}

(d^2-1)y=sech(x)

(d^{2} - 1) y = sech (x)

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

(d + 2) \cdot (d - 1)^{3} \cdot y = e^{x}

y^{'''}-2y^{''}+y^'=2-24e^x+40e^5x

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = 2 - 24 e^{x} + 40 e^{5} x

(d^{2} + 9) y = 2 x^{2}