Purchase Solution

Linear dependence of solutions

Not what you're looking for?

Ask Custom Question

One solution to ty"-(t+2)y'+2y=0 is exp(t)
Find a second linearly independent solution.

Attachments
Purchase this Solution

Solution Summary

The solution is 6 pages long and demonstrates two possible methods to solve the problem.

Solution Preview

Hi there!

Here is the solution in two file formats as usual.
I'm sorry it took me a while, but I wanted to show you two different methods how to approach this kind of problem (who know's in a test it might come handy).

First Method: Wronskian

Write the equation as:

The two solutions must satisfy:

Multiplying equation (2) by y1 and subtracting equation (1) multiplied by y2 we obtain:

Using the Wronskian's definition:

We see that:

So:

This ...

Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.