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Beliebt Rechnen >

y^{''}-8y^'+16y=e^{4x}

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = e^{4 x}

Lösung

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + \frac{e ^{4 x} x ^{2}}{2}

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 16 y = e^{4 x}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + \frac{e ^{4 x} x ^{2}}{2}

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + \frac{e ^{4 x} x ^{2}}{2}

Graph

Beliebte Beispiele

derivative of 4x^2+6x

(\partial)/(\partial s)(sqrt(s^6+t^6))

(df)/(dx)+2f=fx^3

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