dx/dt = 1- sin[ ln(1+x )]
Replace the right hand side by the linear Taylor's approximation about x0=0 and solve the resulting equation. Determine the particular solution for the initial condition x(0)=0.
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Taylor series for and
so to first order the taylor series would be
Hadn't learnt the Taylor series so had to do a quick crash course, this helped a lot, thanks heaps.
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