Thread: Taylors approximation problem

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.

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.