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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative y=8e^{17t}

derivative 4csc(5x)

(\partial)/(\partial x)(Ae^{i(kx-wt)})

(\partial)/(\partial x)(ln(sin^2(x)))