Mathematics, 13.08.2021 04:20 Tnguyen8160
The point x = 0 is a regular singular point of the given differential equation. xy" â xy' + y = 0 Show that the indicial roots r of the singularity differ by an integer. (List the indicial roots below as a comma-separated list.) Use the method of Frobenius to obtain at least one series solution about x = 0. Use (23) in Section 6.3 e-SP(x) dx Y2(x) = V1(x) dx (23) O y = Cyx + C2(x Inx = 1+*+ + where necessary and a CAS, if instructed, to find a second solution. Form the general solution on (0,00). *3 2 12 72 X3 O y = Cz* + cz(x In x â 1 + + 2 6 24 + + + 72 O y = Cx In x + Cz(-1 +x+*24 (+..) O v = (x + cz(xet - 1) O v=C« In x+C2(-1+x+*+ ...)
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The point x = 0 is a regular singular point of the given differential equation. xy" â xy' + y = 0 Sh...
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