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Beliebt Rechnen >

y^{''}-2y^'+y=4x^2-6

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 6

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + 4 x^{2} + 16 x + 18

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + y = 4 x^{2} - 6

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + 4 x^{2} + 16 x + 18

y = c_{1} e^{x} + c_{2} x e^{x} + 4 x^{2} + 16 x + 18

Graph

Beliebte Beispiele

y^{''''}-2y^{''}+y=5sin(2x)

y^{^{''''}} - 2 y^{^{''}} + y = 5 sin (2 x)

y^{^{''}} + 3 y = e^{t}

y^{''}-9y^'=9xe^{-3x}

y^{^{''}} - 9 y^{^{'}} = 9 x e^{- 3 x}

y^{''}+14y^'+49y=t-2e-7t

y^{^{''}} + 14 y^{^{'}} + 49 y = t - 2 e - 7 t

y^{''}+9y=(x^2+1)e^{3x}

y^{^{''}} + 9 y = (x^{2} + 1) e^{3 x}