What is the solution for udx+(1-3u)xdu=3udu ?

The solution for udx+(1-3u)xdu=3udu is x=-1-1/(3u)+(c_{1})/(e^{-3u)u}

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udx+(1-3u)xdu=3udu

u d x + (1 - 3 u) x d u = 3 u d u

x = - 1 - \frac{1}{3 u} + \frac{c _{1}}{e ^{- 3 u} u}

Solution steps

u d x + (1 - 3 u) x d u = 3 u d u

Solve linear ODE:

x = - 1 - \frac{1}{3 u} + \frac{c _{1}}{e ^{- 3 u} u}

x = - 1 - \frac{1}{3 u} + \frac{c _{1}}{e ^{- 3 u} u}

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What is the solution for udx+(1-3u)xdu=3udu ?
The solution for udx+(1-3u)xdu=3udu is x=-1-1/(3u)+(c_{1})/(e^{-3u)u}