Q1) Find the general solution 4x²y" – 8x²y' + (4x² + 1)y = 0 Q2) Find singular regular points
Q1) Find the general solution 4x²y" – 8x²y' + (4x² + 1)y = 0 Q2) Find singular regular points
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) Find the general solution
4x²y" – 8x²y' + (4x² + 1)y = 0
Q2) Find singular regular points
a) (х3 + 4x)у" - 2ху + 6у %3D0
b) 2x?у" + 3ху' - (х? + 1)у %3D0
c) r'(z - 1)*y" + (1 – cos z)(x- 1)'y' +x In
y = 0
Q3) Find S J3 dx
Q4) Choose the correct answer:
1- Bessel function is
a) odd function b) even function c) odd & even
d) none of these
2- The value of S, V-2(x) – /2(x)]dx is equal to
a)0
b) -2
c) 2
d) 1
3- If In+1(x) =Jn(x) – Jo(x) then n is
a) 0
b) 2
c) -1
d) none of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6194e42b-4e29-4822-b944-5ab1e6bca2ce%2F60549252-1167-4cba-aa54-cc4b23edda86%2Fpqda0f5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1) Find the general solution
4x²y" – 8x²y' + (4x² + 1)y = 0
Q2) Find singular regular points
a) (х3 + 4x)у" - 2ху + 6у %3D0
b) 2x?у" + 3ху' - (х? + 1)у %3D0
c) r'(z - 1)*y" + (1 – cos z)(x- 1)'y' +x In
y = 0
Q3) Find S J3 dx
Q4) Choose the correct answer:
1- Bessel function is
a) odd function b) even function c) odd & even
d) none of these
2- The value of S, V-2(x) – /2(x)]dx is equal to
a)0
b) -2
c) 2
d) 1
3- If In+1(x) =Jn(x) – Jo(x) then n is
a) 0
b) 2
c) -1
d) none of these
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