1. Check your typing
2. What is the Taylor approx (the formula)?
Hello!! Boy am I glad that there is such a site!!
I have my final exams approaching in 2 days and im studing
Distance-Ed... so im in dire need of some help!
This is my question!
Determine the first three nonzero terms in the Taylor polynomial
approximations for the given initial value problem:
q) x" + t(x) = 0; x(0)=1, x'(0)=0
I have the final answer, but I want to see the full solution.
The answer is: 1 - (1/6)t^3 + (1/180)t^6 + ...
Please HELPP!!!!!!!!!!
zee
Determine the first three nonzero terms in the Taylor polynomial
approximations for the given initial value problem:
x" + t(x) = 0; x(0)=1, x'(0)=0
The question is typed accurately...
I dont have the formula as I have lost my formula sheet...
thus im in a lost position... please help somehow..
zee
If about t=0, then:
The first term is x(0), which is 1.
The second term is 0 because x'(0) = 0.
The third term is which is also 0 because (just plug t=0 in).
The 4th term is which contains the derivative of the third term:
(Hint: Use chain rule) We already know x'(0) = 0 and x(0) = 1 so the 4th term is
The 5th and 6th terms are both 0.
(We established that x'(0) = 0, x''(0) = 0.)
(x''(0) = 0, 0*(stuff) = 0)
The 7th term is not zero.
Plug t=0, you get
Using information from the 4th term:
The 7th term is
That's all.
In case you are wondering, the exact solution is: