Purchase Solution

Series Solutions of Second Order Linear Equations : Ordinary Point, General Solution, Power Series and Radius of Convergence

Not what you're looking for?

Ask Custom Question

Verify that x0=0 is an ordinary point of the differential equation:
y''+ xy' + 2y = 0
Find two linearly independent solutions to the differential equation in the form of a power series about x0=0. If possible, find the general term in each solution. Write the general solution

Verify that x0=0 is an ordinary point for the differential equation:
....

Find the first four terms of the power series of two linearly independent solutions. Estimate the lower bound for the radius of convergence of the two solutions.

Attachments
Purchase this Solution

Solution Summary

Ordinary Point, General Solution, Power Series and Radius of Convergence are investigated. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Problem #1
. Let , , then we have . In this form, when , and are finite. So is an ordinary point.
Now assume that is in the form of power series. Then we ...

Purchase this Solution


Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

Multiplying Complex Numbers

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