(a) Please find the solution y(x) of the following differential equation using the series method: (2x²+5)y" - 12xy + 24y = 0 Where y'=and y' = d. The initial conditions are: y(0) = 1, and y'(0) = 1.

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(a) Please find the solution y(x) of the following differential equation using the series
method:
(2x² + 5)y" - 12xy + 24y = 0
Where y' = and y" = d.
The initial conditions are: y(0) = 1, and y'(0) = 1.
Transcribed Image Text:(a) Please find the solution y(x) of the following differential equation using the series method: (2x² + 5)y" - 12xy + 24y = 0 Where y' = and y" = d. The initial conditions are: y(0) = 1, and y'(0) = 1.
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