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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + c_{3} x^{2} e^{x} - x - 3 - \frac{e ^{x} x ^{3}}{2}

Schritte zur Lösung

y^{'''} (x) - 3 y^{''} (x) + 3 y^{'} (x) - y = x - 3 e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + c_{3} x^{2} e^{x} - x - 3 - \frac{e ^{x} x ^{3}}{2}

y = c_{1} e^{x} + c_{2} x e^{x} + c_{3} x^{2} e^{x} - x - 3 - \frac{e ^{x} x ^{3}}{2}

Graph

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