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

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

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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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
Transcribed Image Text: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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