Matlab - ass#2

Matlab - ass#2 - 8 9 10-4-3-2-1 1 2 3 4 t y y ' = k (A - y)...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Hoon Shin Math 20D Section: B52 Assignment #2 Exercise 2.1 a) b) c) Exercise 2.2 A) -2 0 2 4 6 8 10 -4 -3 -2 -1 0 1 2 3 4 x y y ' = (exp( - x) - y) (exp( - x) + 1 - 2 y) B) Plotting the field, allows us to understand easier and faster instead of solving the equation by hand. Also, by clicking on to the point that we are looking for, it allows us to see the solution near that point. Exercise 2.3
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
-2 0 2 4 6 8 10 -4 -3 -2 -1 0 1 2 3 4 x y y ' = x - y If the initial value was no exactly (1,1), it would give slightly off answer but it would not affect that much as long as it is near point (1,1). Exercise 2.4 -2 0 2 4 6 8 10 -4 -3 -2 -1 0 1 2 3 4 tx y ' = y - 2
Background image of page 2
Different from exercise 2.3, the results will be far different if one did not click on to the point (0,2) because the change (rate) is rapid. Exercise 2.5 0 1 2 3 4 5 6 7
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 8 9 10-4-3-2-1 1 2 3 4 t y y ' = k (A - y) A = 1 k = 3 A changes the height of the graph where k changes the rate. Comparing to real life, A is representing equilibrium solution where temperature has no change in a time. On the other hand, k is representing the rate of change which determines how quick the object hits the equilibrium solution. Exercise 2.6 a) dy/dt = k ( A - y ) , y(0) = -7 b) A should be 40F c) at about 15 hours 2 4 6 8 10 12 14 16 18 20-10 10 20 30 40 50 t y y ' = 0.3 (36 - y) d) about an 2.8 hours Thus 15 2.8 = 12.2 hours will be saved 2 4 6 8 10 12 14 16 18 20 5 10 15 20 25 30 35 t y y ' = 0.3 (68 - y)...
View Full Document

Page1 / 5

Matlab - ass#2 - 8 9 10-4-3-2-1 1 2 3 4 t y y ' = k (A - y)...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online