What is the solution for (dx)/(dt)=0.25-1/20 x,x(0)=0.5 ?

The solution for (dx)/(dt)=0.25-1/20 x,x(0)=0.5 is x=-(9e^{-t/(20)})/2+5

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(dx)/(dt)=0.25-1/20 x,x(0)=0.5

\frac{d x}{d t} = 0.25 - \frac{1}{20} x, x (0) = 0.5

x = - \frac{9 e ^{- \frac{t}{20}}}{2} + 5

Solution steps

\frac{d x}{d t} = 0.25 - \frac{1}{20} x

Solve separable ODE:

x = - \frac{9 e ^{- \frac{t}{20}}}{2} + 5

x = - \frac{9 e ^{- \frac{t}{20}}}{2} + 5

y^{^{''}} + 25 y = 3 sec^{3} (5)

\frac{x}{x ^{2} + y ^{2}}

n = 1 \sum \infty \frac{1}{2 ^{n} n ^{2}}

\frac{d}{d x} (2 x^{- 3})

f (x) = \frac{4}{x}

What is the solution for (dx)/(dt)=0.25-1/20 x,x(0)=0.5 ?
The solution for (dx)/(dt)=0.25-1/20 x,x(0)=0.5 is x=-(9e^{-t/(20)})/2+5