What is the solution for (dy)/(dx)+10y=11 ?

The solution for (dy)/(dx)+10y=11 is y=-(e^{-10x-c_{1}})/(10)+11/10

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(dy)/(dx)+10y=11

\frac{d y}{d x} + 10 y = 11

y = - \frac{e ^{- 10 x - c_{1}}}{10} + \frac{11}{10}

Solution steps

\frac{d y}{d x} + 10 y = 11

Solve separable ODE:

y = - \frac{e ^{- 10 x - c_{1}}}{10} + \frac{11}{10}

y = - \frac{e ^{- 10 x - c_{1}}}{10} + \frac{11}{10}

\frac{d}{d x} (x^{2} - 4 x + 10)

\frac{d}{d x} (6 e^{x} + \frac{4}{3 x})

x \to 5 lim (\frac{1}{x ^{2} - 1})

\frac{d}{d x} (\frac{2 x ^{2} + 8 x + 4}{x})

y^{^{''}} + 31 y = 0

What is the solution for (dy)/(dx)+10y=11 ?
The solution for (dy)/(dx)+10y=11 is y=-(e^{-10x-c_{1}})/(10)+11/10