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  1. R

    Taylor Series Approximation Help

    Thanks for the help Theo, but my problem now lies in the programming bit of the problem. I think I've got the steps before it figured out. Please correct me if I'm wrong. y''= x3(y^2)y' + y^3 -[(-sin(x)siny) + (cos(x)cos(y)y')] = 3x(y^2)y' + y^3 +[cos(x)cos(y)y' - sin(x)sin(y)] y'=...
  2. R

    Taylor Series Approximation Help

    wow, my professor changed the IVP to: y'=xy^3 - cos(x)sin(y) y(0)= -1 still using h= .1 and looking for y_1 to y_20, as well as writing the program. Apparently the original blew up too quickly.
  3. R

    Taylor Series Approximation Help

    Homework Statement Use the "Three Term" Taylor's approximation to find approximate values y_1 through y_20 with h=.1 for this Initial Value Problem: y'= cosh(4x^2-2y^2) y(0)=14 And write a computer program to do the grunt work approximation Homework Equations The Attempt...
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