2250 meets 8:05am daily in WEB 1230
Updated: Tuesday, 06-Jan-2015 05:33:42 MST
  Today: Thursday, 30-Oct-2025 06:42:45 MDT
Problem 1.2-2
Find a function y=f(x) which satisfies the
differential equation dy/dx = (x-2)^2
and the initial condition y(2)=1.
Book's Answer: y=1+(1/3)(x-2)^3
Your Job
Please write a one or two page solution.
Submit a COPY on the next to last class of Week 1.
It will be returned on Friday of Week 1, with comments, ungraded.
The final draft of 1.2-2 will be collected with the
Week 1 homework in a stapled package (due in Week 2).
Sample Solved Problem
The link below is handwritten work by Gustafson, Tyson Black and Jennifer Lahti. Try to do
as well as Jennifer (best exposition in this PDF), but write your own draft, using your own style.
Tyson's work for 1.2-1 shows the range of what is acceptable.
This is practise writing mathematics, with the mysteries removed.
If you agree that listening to the radio has nothing to do with reading and writing musical
notes, then you are beginning to understand the difference between writing mathematics and
being a mathematical consumer. Engineers are not just consumers of mathematical methods, they are authors
of new methods, which is a nontrivial creative effort requiring special writing skills. Knowing how to
write mathematics enables you to read modern engineering publications, which always seem to have new
technological and mathematical content.
Read Jennifer Lahti's draft
of Exercise 1.2-2, which is on page 4.