explain the determine yellow 5.3.6 Example FThe Lagrange method applied to the equation2(k + 2, l) = 42(k, l + 1)(5.113)gives X2 = 4µ or A1211/2 and A2 = -2µ1/2. Therefore, special solutionsare21 (k, l) = (2µ1/2)*µ°(5.114)andz2(k, l) = (–2µ'/2)k pel.(5.115)Multiplying these two equations by C1(u) and C2(u) and summing over Hgives the general solution2(k, l) = 2*[f (k + 20) + (–1)*g(k + 20)],(5.116)where f and g are arbitrary functions of k + 2l.Likewise, the separation-of-variables method, žp(k, l) = CkDe, gives theequationsCk+2De+1= a²,De(5.117)= O4Ckwhere we have written the "separation constant" in the form a?. The solutionsto equations (5.117) allow us to determine zp(k, l); it isk+2l-Zp(k, l) = [A1a*+24 + A2(-)*a*+2ej2*,(5.118)where A1 and A2 are arbitrary constants. Summing over a gives the generalsolution expressed by equation (5.116).

Name: explain the determine yellow 5.3.6 Example FThe Lagrange method applie
Uploaded: 2024-03-20T06:47:08.000Z
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Description: explain the determine yellow 5.3.6 Example FThe Lagrange method applied to the equation2(k + 2, l) = 42(k, l + 1)(5.113)gives X2 = 4µ or A1211/2 and A2 = -2µ1/2. Therefore, special solutionsare21 (k, l) = (2µ1/2)*µ°(5.114)andz2(k, l) = (–2µ'/2)k pel.