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Beliebt Rechnen >

9y^{''}-y=(xex)/3

Lösung

9 y^{^{''}} - y = \frac{x e x}{3}

Lösung

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{3}} - \frac{e x ^{2}}{3} - 6 e

Schritte zur Lösung

9 y^{''} (x) - y = \frac{x e x}{3}

Solve linear ODE:

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{3}} - \frac{e x ^{2}}{3} - 6 e

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{3}} - \frac{e x ^{2}}{3} - 6 e

Graph

Beliebte Beispiele

integral from 3 to 8 of x^3ln(3x)

\int_{3}^{8} x^{3} ln (3 x) d x

y^{''}-8y^'+20y=200x^2-39xe^x

y^{^{''}} - 8 y^{^{'}} + 20 y = 200 x^{2} - 39 x e^{x}

integral from 0 to 8 of xe^{-x}

\int_{0}^{8} x e^{- x} d x

derivative of-x/(x^2+y^2)

\frac{d}{d x} (- \frac{x}{x ^{2} + y ^{2}})

integral of 1/(sqrt(2-3x^2))

\int \frac{1}{2 - 3 x ^{2}} d x