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Beliebt Rechnen >

y^{''}-2y^'+y=24x^2e^x

Lösung

y^{^{''}} - 2 y^{^{'}} + y = 24 x^{2} e^{x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + y = 24 x^{2} e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative e^{cot(x)}

d er i v a t i v e e^{c o t (x)}

(sin (θ))^{^{'}}

integral of x/t

\int \frac{x}{t} d t

derivative of sqrt(x^3)+\sqrt[3]{x^2}

\frac{d}{d x} (x^{3} + 3 x^{2})

derivative of 24cos(3x)

\frac{d}{d x} (24 cos (3 x))