# Calculate the approximate value of e^x for x=0.5 and x=2.0 using the Maclauren series approximation.

ection 3.4

#1. Solve each of the following linear systems for the given initial values.

Sketch the phase plane of each system and determine the nature of the equilibrium solution(s).

Do this first without the use of technology, then check your answer with pplane or equivalent software.

You can do it with just technology, or by hand and technology, as you wish. (but use a computer one way or the other!)

Section 3.8

Use technology. Either construct the solution as a mixture of eigenvectors and corresponding eigenvalue exponents or use the matrix exponential (expm in matlab).

ection 3.4

#1. Solve each of the following linear systems for the given initial values.

Sketch the phase plane of each system and determine the nature of the equilibrium solution(s).

Do this first without the use of technology, then check your answer with pplane or equivalent software.

You can do it with just technology, or by hand and technology, as you wish. (but use a computer one way or the other!)

Section 3.8

Use technology. Either construct the solution as a mixture of eigenvectors and corresponding eigenvalue exponents or use the matrix exponential (expm in matlab).

Section 4.1

Find the general solutions.

Solve the Initial Value Problems.

ection 3.4

#1. Solve each of the following linear systems for the given initial values.

Calculate the approximate value of e^x for x=0.5 and x=2.0 using the Maclauren series approximation.

A) compare with built-in matlab function and terminate when the values agree to within .00001, and

B) compare successive iterations of the Maclauren series until they differ by less than 0.00001.

You will submit 2 M-files and one PDF showing screen shots of the code and results for all 4 cases.

Section 5.1

Section 5.1ection 4.1

Find the general solutions.

Solve the Initial Value Problems.

Section 5.1