Updated: Thursday, 20-Oct-2016 05:17:21 MDT Today: Thursday, 26-Dec-2024 19:47:54 MST
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 recorded separately from the
Week 1 homework (due in Week 2). Please submit 1.2-2
by Friday of Week 2, if not submitted in Week 1.
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.
Read Jennifer Lahti's draft
of Exercise 1.2-2, which is on page 4. Compare to Tyson Black's solution, page 2.
For more Exercises 1.2 by Jennifer Lahti,
read Jennifer Lahti Ex 1.2-8,8,10