(d) What is the general solution to the differential equation on (–1,1)? (e) Solve the initial value problem: (2² – 1);/" + 4xy/ + 2y = 0, y(0) = -5, y/(0) = 1
(d) What is the general solution to the differential equation on (–1,1)? (e) Solve the initial value problem: (2² – 1);/" + 4xy/ + 2y = 0, y(0) = -5, y/(0) = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
I need help D and E. please solve d and e.

Transcribed Image Text:1. (a) Verify that y1 = 1 and y2 =
on the interval (-1,1):
are solutions of the homogeneous 2nd order linear equation
T-1
Lesson 10 Problems
(22 – 1)y" + 4xy + 2y = 0
(b) Find the Wronskian W of {y1,Y2}.
(c) Is {y1, Y2} a fundamental set of solutions on (-1,1)?
(d) What is the general solution to the differential equation on (-1, 1)?
(e) Solve the initial value problem:
(22 – 1)y" + 4.ry/+2y = 0,
y(0) = -5, /(0) = 1
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