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Mathematics, 19.02.2020 01:00 georgettemanga2001

Consider the differential equation

4y'' − 4y' + y = 0; ex/2, xex/2.

Verify that the functions

ex/2
and
xex/2

form a fundamental set of solutions of the differential equation on the interval
(−[infinity], [infinity]).

The functions satisfy the differential equation and are linearly independent since W(ex/2, xex/2) =

≠ 0 for
−[infinity] < x < [infinity].
Form the general solution.
y =

ansver
Answers: 1

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Consider the differential equation

4y'' − 4y' + y = 0; ex/2, xex/2.

Verify t...
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