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Hence find a general solution of the equation 2 1 w" () - ¹ ()² = ² 2. w' w'

Hence find a general solution of the equation 2 1 w" () - ¹ ()² = ² 2. w' w'

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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Let u₁ and u₂ be two linearly independent solutions of the second-order linear differential equation d² u fu dx² 2 +-0. = 0, f = f(x).
Transcribed Image Text:Let u₁ and u₂ be two linearly independent solutions of the second-order linear differential equation d² u fu dx² 2 +-0. = 0, f = f(x).
w"/w' =-2u' 1/u₁ w" 2 () ()*² = w' 2 w' Hence find a general solution of the equation f. 2 1 w" (~) - ² (~~)*² = 2 2 w' [You are not required to prove that your answer is the general solution.]
Transcribed Image Text:w"/w' =-2u' 1/u₁ w" 2 () ()*² = w' 2 w' Hence find a general solution of the equation f. 2 1 w" (~) - ² (~~)*² = 2 2 w' [You are not required to prove that your answer is the general solution.]
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