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Beliebt Rechnen >

y^{''}-y^'=6xe^x

Lösung

y^{^{''}} - y^{^{'}} = 6 x e^{x}

Lösung

y = c_{1} e^{x} + c_{2} + 3 e^{x} x^{2} - 6 (e^{x} x - e^{x})

Schritte zur Lösung

y^{''} (x) - y^{'} (x) = 6 x e^{x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} + 3 e^{x} x^{2} - 6 (e^{x} x - e^{x})

y = c_{1} e^{x} + c_{2} + 3 e^{x} x^{2} - 6 (e^{x} x - e^{x})

Graph

Beliebte Beispiele

limit as x approaches 1 of (1-x)/(\sqrt[3]{8x^3-8)}

x \to 1 lim (\frac{1 - x}{3 8 x ^{3} - 8})

derivative of-12x^2

\frac{d}{d x} (- 12 x^{2})

(d^2y)/(dx^2)=(dy)/(dx)

\frac{d ^{2} y}{d x ^{2}} = \frac{d y}{d x}

sum from n=1 to infinity}((-1)^{n-1 of)/(n!)

n = 1 \sum \infty \frac{( - 1 ) ^{n - 1}}{n !}

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