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Q3 i) If w₁ and we are linearly independent solution of the differential equa- tion dw L(w) = +p(z)+q(z)w = 0, d'u dz² deduce the relationship between these two solutions. 1:0

Q3 i) If w₁ and we are linearly independent solution of the differential equa- tion dw L(w) = +p(z)+q(z)w = 0, d'u dz² deduce the relationship between these two solutions. 1:0

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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مو متأكد Q3 i) If w₁ and we are linearly independent solution of the differential equa- tion ت صله dw dz² +p(z)+q(z)w = 0, dz deduce the relationship between these two solutions. 1:0.. It's Given that w, and we are linearly independent. Sol of the D-E a L(w) = where c اعتقد -1. L (w) an = треч) ави homo genuous differeniable equation with constant co-fficent wronskin W(W₁, W₂): V₁, W₂ d²w of2² W₁ - /w w/ -Spetsat ce +9(2)0=0 dz ( arbitrory cofficent (czo) Abel's Formula X(t) = C₁ W₁ + C₂ w₂ is also sof of D.E. )
Transcribed Image Text:مو متأكد Q3 i) If w₁ and we are linearly independent solution of the differential equa- tion ت صله dw dz² +p(z)+q(z)w = 0, dz deduce the relationship between these two solutions. 1:0.. It's Given that w, and we are linearly independent. Sol of the D-E a L(w) = where c اعتقد -1. L (w) an = треч) ави homo genuous differeniable equation with constant co-fficent wronskin W(W₁, W₂): V₁, W₂ d²w of2² W₁ - /w w/ -Spetsat ce +9(2)0=0 dz ( arbitrory cofficent (czo) Abel's Formula X(t) = C₁ W₁ + C₂ w₂ is also sof of D.E. )
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