Consider the differential equation d3 x dt3 10 d2 x dt2 20
Chapter 2, Problem 54(choose chapter or problem)
Consider the differential equation
\(\frac{d^3 x}{d t^3}+10 \frac{d^2 x}{d t^2}+20 \frac{d x}{d t}+15 x=f(x)\)
where f(x) is the input and is a function of the output, x. If \(f(x)=3 e^{-5 x}\), linearize the differential equation for x near 0. [Section: 2.10]
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