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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = \frac{e ^{2 x}}{x}

Solve linear ODE:

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

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

Graph

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