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Q#2 Consider the differential equation x²y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Q#1 Find the general solution for 2y" +2y' + 7y = 0, assume that x is the independent variable

Q#2 Consider the differential equation x²y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Q#1 Find the general solution for 2y" +2y' + 7y = 0, assume that x is the independent variable

Advanced Engineering Mathematics
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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Q#2 Consider the differential equation x²y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
Transcribed Image Text:Q#2 Consider the differential equation x²y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
Q#1 Find the general solution for 2y" +2y' + 7y = 0, assume that x is the independent variable
Transcribed Image Text:Q#1 Find the general solution for 2y" +2y' + 7y = 0, assume that x is the independent variable
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