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Beliebt Rechnen >

y^{''}-4y^'+4y=2+8x-4x^2

Lösung

y^{^{''}} - 4 y^{^{'}} + 4 y = 2 + 8 x - 4 x^{2}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = 2 + 8 x - 4 x^{2}

Solve linear ODE:

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

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

Graph

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