What is the solution for (dy)/(dx)+0.1y=10 ?

The solution for (dy)/(dx)+0.1y=10 is y=-10e^{(-x-c_{1})/(10)}+100

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(dy)/(dx)+0.1y=10

\frac{d y}{d x} + 0.1 y = 10

y = - 10 e^{\frac{- x - c _{1}}{10}} + 100

Solution steps

\frac{d y}{d x} + 0.1 y = 10

Solve separable ODE:

y = - 10 e^{\frac{- x - c _{1}}{10}} + 100

y = - 10 e^{\frac{- x - c _{1}}{10}} + 100

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What is the solution for (dy)/(dx)+0.1y=10 ?
The solution for (dy)/(dx)+0.1y=10 is y=-10e^{(-x-c_{1})/(10)}+100