Q1:- A) solve the following D.E51x³y" + Gx +x²)y' -y = 0B):-у" + у' — бу %3D 8е3хQ2):- Determine the singular points of the following D.E and classify eachsingular point as regular or irregular.1. x(x2 + 1)y" + y = 02. y" -y' +;1-y = 0(х-1)33. ху" — (х + 3)2У — 0%3D4.Q3):- Find the solution of given D.Ex²(1 – x)?y" + 2xy' + 4y = 0|Q4):- Given1. ordinary pointChoose one with complete solution2x(x – 2)²y" + (x0 – 2)y' + 3y = 0 is x = 22.irregular singular point 3. regular singular pointQ5):- solve the following D.E y" – xy' – y = 0 use y = En=0 anx"As solution key

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Q1:- A) solve the following D.E '5 x?y" + 1 - B):- у" + у' — бу %3D 8е3х

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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Question

Q1:- A) solve the following D.E
5
1
x³y" + Gx +x²)y' -y = 0
B):-
у" + у' — бу %3D 8е3х
Q2):- Determine the singular points of the following D.E and classify each
singular point as regular or irregular.
1. x(x2 + 1)y" + y = 0
2. y" -y' +;
1
-y = 0
(х-1)3
3. ху" — (х + 3)2У — 0
%3D
4.
Q3):- Find the solution of given D.E
x²(1 – x)?y" + 2xy' + 4y = 0
|
Q4):- Given
1. ordinary point
Choose one with complete solution
2x(x – 2)²y" + (x0 – 2)y' + 3y = 0 is x = 2
2.irregular singular point 3. regular singular point
Q5):- solve the following D.E y" – xy' – y = 0 use y = En=0 anx"
As solution key

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