1 answer

1. Write the forms of the series expansion about the regular singular point x=0 for two...

Question:

1. Write the forms of the series expansion about the regular singular point x=0 for two linearly independent solutions to the
1. Write the forms of the series expansion about the regular singular point x=0 for two linearly independent solutions to the following differential equation (do not compute the coefficients in the expansions): zºy'(x) - xy'(x) + (1 - x)y(x) = 0. (1) 2. Does the following system of equations have an unique solution? Explain your reason for the answer (do not find the solution). 2x 1 + 4x2 + x3 = 8 2x + 4.62 = 6 -401 - 8x2 + x3 = -10

Answers

no ? M-2 na 2 M-71 no Иго 12 n2 MO o 22 y100) -& yex) + ( =*) y(x) = 0 - 0 Let y (x) = Ca xh Sys nen that > yes = SŠ mavcn* 2x+4*2 + x3 = 8 28, +4% =6 . . -444-822 + z = -10 Rewrite in the matrin forum AX=B [2 4 11,7 ſ 2 4 0 4 -8 1 31 2 4 118 Thee

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