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Use (20) in Section 6.4. +1-20 y² + (6²c²x²c-24 0²-p²c²y = 0, )y pzo (20) X Find the general solution of the given differential equation on (0, ∞). (The definitions of various Bessel functions are given here.) xy" - Sy' + xy = 0 y(x) = x[C₁³₁(x³) + C₁₂Y₁(x³)] Oy(x)=x[C₁₂(3x) + C₂Y₁(3x)] Oy(x) = x³[C₁J₁(x) + C₂³_₁(x)] Oy(x) = x³[C₁J₂(x) + C₂Y3(x)] O y(x) = x³[C₁₂(x) + C₂_3(x)] Need Help? Read It x

Use (20) in Section 6.4. +1-20 y² + (6²c²x²c-24 0²-p²c²y = 0, )y pzo (20) X Find the general solution of the given differential equation on (0, ∞). (The definitions of various Bessel functions are given here.) xy" - Sy' + xy = 0 y(x) = x[C₁³₁(x³) + C₁₂Y₁(x³)] Oy(x)=x[C₁₂(3x) + C₂Y₁(3x)] Oy(x) = x³[C₁J₁(x) + C₂³_₁(x)] Oy(x) = x³[C₁J₂(x) + C₂Y3(x)] O y(x) = x³[C₁₂(x) + C₂_3(x)] Need Help? Read It x

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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Use (20) in Section 6.4. - 2a 2 y" + · 1 = 2³ y² + (b²c²x²c - 2 + a² - p²c² ) y = -y' 0, X p≥ 0 Need Help? Read It (20) Find the general solution of the given differential equation on (0, ∞). (The definitions of various Bessel functions are given here.) xy" – 5y' + xy = 0 ! y(x) = x[C₁J₁(x³) + C₂Y₁(x³)] y(x) = x[C₁J₁(3x) + C₂Y₁(3x)] y(x) = x³ [C₁J₁(x) + C₂J_1(x)] y(x) = x³[C₁J3(x) + C₂Y 3(x)] y(x) = x³[C₁J3(x) + C₂J_3(x)]
Transcribed Image Text:Use (20) in Section 6.4. - 2a 2 y" + · 1 = 2³ y² + (b²c²x²c - 2 + a² - p²c² ) y = -y' 0, X p≥ 0 Need Help? Read It (20) Find the general solution of the given differential equation on (0, ∞). (The definitions of various Bessel functions are given here.) xy" – 5y' + xy = 0 ! y(x) = x[C₁J₁(x³) + C₂Y₁(x³)] y(x) = x[C₁J₁(3x) + C₂Y₁(3x)] y(x) = x³ [C₁J₁(x) + C₂J_1(x)] y(x) = x³[C₁J3(x) + C₂Y 3(x)] y(x) = x³[C₁J3(x) + C₂J_3(x)]
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