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Use (1) in Section 6.4. x2y" + xy' + (x2 - v2)y = 0 (1) Find the general solution of the given differential equation on (0, o). (The definitions of various Bessel functions are given here.) xzy" + xy' + = 0 36 O Y(x) = C,J1/6(x) + CJ_1/6(x) O YX) = CJ1/6(x) + CJ_1/6(-x) O Y(X) = CJ1/36(x) + C)_1/36(-x). O y(x) = C,11/6(x) + C,K1/6(x) O YX) = C;J1/36(x) + C,J_1/36(x)

Use (1) in Section 6.4. x2y" + xy' + (x2 - v2)y = 0 (1) Find the general solution of the given differential equation on (0, o). (The definitions of various Bessel functions are given here.) xzy" + xy' + = 0 36 O Y(x) = C,J1/6(x) + CJ_1/6(x) O YX) = CJ1/6(x) + CJ_1/6(-x) O Y(X) = CJ1/36(x) + C)_1/36(-x). O y(x) = C,11/6(x) + C,K1/6(x) O YX) = C;J1/36(x) + C,J_1/36(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 (1) in Section 6.4. xzy" + xy' + (x2 – v²)y = 0 (1) Find the general solution of the given differential equation on (0, ). (The definitions of various Bessel functions are given here.) x²y" + xy' + (x -36 36/ O yX) = C,J1/6(x) + C_1/6(x) O XX) = C,J1/6(x) + C,)_1/6(-x) o xX) = CJ1/36(x) + C,)_1/36(-x) O y(x) = C,11/6(x) + C,K1/6(x) O YX) = C,J1/36(x) + C_1/36(x) = 0 %3D %3D %3D %3D
Transcribed Image Text:Use (1) in Section 6.4. xzy" + xy' + (x2 – v²)y = 0 (1) Find the general solution of the given differential equation on (0, ). (The definitions of various Bessel functions are given here.) x²y" + xy' + (x -36 36/ O yX) = C,J1/6(x) + C_1/6(x) O XX) = C,J1/6(x) + C,)_1/6(-x) o xX) = CJ1/36(x) + C,)_1/36(-x) O y(x) = C,11/6(x) + C,K1/6(x) O YX) = C,J1/36(x) + C_1/36(x) = 0 %3D %3D %3D %3D
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