Mathematics 255
15 October 2008
Quiz # 4
Name
Score: out of 30 points This quiz is due at the beginning of class on Friday, 17 October. The work you hand in must be your own. (7) 1. For t > 0, nd the
Improved Eulers method
Again consider the initial-value problem dy = f (t, y ), dt
Mathematics 255: Lecture 10
Improved Euler Method
y (t0 ) = y0 .
As before, we want to approximate the solution on th
Mathematics 255
17 September 2008
Quiz # 2
Name
Score: out of 30 points This quiz is due at the beginning of class on Friday, 19 September. The work you hand in must be your own. Show all your work! (
Integral equations
Mathematics 255: Lecture 8
Picard Iteration Dan Sloughter
Furman University
Note: the dierential equation dy = f (t, y ), dt is equivalent to the integral equation
t
y (t0 ) = y0 ,
Exponential growth and decay
Mathematics 255: Lecture 3
Exponential Growth and Decay
The initial-value problem dy = ky , dt arises in many applications. From our work above, we nd the solution
Rt
0
y
Definition
Mathematics 255: Lecture 4
Separation of Variables We say a differential equation of the form g (t) dy = dt f (y ) is separable.
Dan Sloughter
Furman University
September 5, 2008
Dan Slough