Quiz 4
Math 316 - Spring 2013
Name:
Date:
1. If A is a matrix given as
A=
1
4
2
3
then compute the eigenvalues and eigenvectors of A.
1
2. Find the general solution to the following system of rst order linear differential equations. In addition, give a qu
Quiz 3
Math 316 - Spring 2013
Name:
Date:
1. If A is a matrix given as
A=
1
4
2
3
then compute A1 .
2. Find the unique solution to the following system of linear equations using
techniques from linear algebra (i.e., 3.1 of BB).
x1 + 2x2 = 3
4x1 + 3x2 = 1
Quiz 2
Math 316 - Spring 2013
Name:
Date:
1. Solve the following separable dierential equation
y=
5t
.
sin(y )
You may leave your solution in implicit form.
1
2. Write the following in terms of Matlab code that would run without error
and only display as
Quiz 1
Math 316 - Spring 2013
Name:
Date:
1. Solve the following dierential equation using both the method of integrating factors AND the method of variation of parameters.
y + 3y = 5t
1
2. What command is used in MatLab to plot the graph of a function y
MATH 316
Computing Problem #2
1.)
The code:
The graph:
Numerical values:
2.) van der Pol
The code:
The graphs:
3.) pendulum equation
The code:
The graphs:
At #25, y(1)=1.2637 and at #55 y(2)= 1.2853. y(1) y(2). t(1)= 0.7849 and t(2)= 8.1698.
The period is