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Popular >

(dy)/(dx)=40-3y

Solution

\frac{d y}{d x} = 40 - 3 y

Solution

y = - \frac{e ^{- 3 x - c_{1}}}{3} + \frac{40}{3}

Solution steps

\frac{d y}{d x} = 40 - 3 y

Solve separable ODE:

y = - \frac{e ^{- 3 x - c_{1}}}{3} + \frac{40}{3}

y = - \frac{e ^{- 3 x - c_{1}}}{3} + \frac{40}{3}

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h \to \infty lim (\frac{3 h + 2 x h ^{2} + x ^{2} + h ^{3}}{4 - 3 x h - 2 x ^{3} h ^{3}})

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=40-3y ?
The solution for (dy)/(dx)=40-3y is y=-(e^{-3x-c_{1}})/3+40/3