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NDSolve & IVP DIFFeq HELP :(

Posted 10 years ago

Hey guys!! doing my math homework and I cannot figure out how to use NDsolve...and When I looked at my friends graph of their behavior it looked completely different than the one I got so I deleted all of my work and now I turn to you math gurus to help me :(( I also had her explain to me the behavior of the solution over the interval and I pretended to understand what she said but I still don't understand question (c). Thanks for your help guys <3

  1. Consider the initial-value problem (IVP) y'= cos(x) ? e^?y, with y(1) = 0 The Mathematica command DSolve fails with this problem (try it if you wish to see by yourself!), but there is the option to use the command NDSolve http://reference.wolfram.com/mathematica/ref/NDSolve.html, which uses special numerical algorithms to approximate the solution over an interval. (a) ?nd the solution y = f(x) with NDSolve, over the interval 0 ? x ? 2. (b) Graph f(x) on the interval 0 < x ? 2. Which part of the graph shows the initial condition? (c) Describe in words the behavior of the solution over the given interval. What is happening near x = 2? What happens with the computation of solution if the interval is extended to x = 3?
POSTED BY: Ashley Lombardi
POSTED BY: Nasser M. Abbasi
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