Hi,

I am given the differential eqn : 4x'' +3x'+kx=0  with initial conditions  x(0)=0 and x'(0)=1

then I'm asked to:

display a Hooke's constant k>0 such that the solution x(t) is under-damped. Check that    x(t)=0  for infinitely many t>0. Display the exact solution x(t) obrained by maple methods.

Hi

I am trying to define a funciton I'd like to call approx3f that calculates the taylor expansion of a function f(x) around a point "a" up to 3 terms.  So i want this function to be able to recieve a funciton f(x) and a parameter "a" as its input.

I wrote this:

approx5f :=(f,a)-> f(a)+f'(a)*(x-a)+1/2*f''(a)*(x-a)^2

but i think my definition is wrong cuz it doesn't work.  How can i make maple understand f is a function and then input "a" in it and its derivatives.