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 orde
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
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
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 comma
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.