y" + y = 0, y1 = sin(x). (-0, ). i) verify that Y1(x) is a solution.ii) Use reduction of order to find the general solution.iii) Find a fundamental solution set.iv) Find the Wronkskian, and list it's zeroes and discontinuities. Verify that the Wronskian is nonzeroand continuous on the given interval.

Answered: Image /qna-images/answer/2bf02dbe-a3b4-4758-a3e1-c2e3e8a75148.jpg

Answered: i) verify that yı(x) is a solution. ii)…

i) verify that yı(x) is a solution. ii) Use reduction of order to find the general solution. iii) Find a fundamental solution set.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 63RE

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

i) verify that Y1(x) is a solution.
ii) Use reduction of order to find the general solution.
iii) Find a fundamental solution set.
iv) Find the Wronkskian, and list it's zeroes and discontinuities. Verify that the Wronskian is nonzero
and continuous on the given interval.

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