Consider the differential equation
4y'' − 4y' + y = 0; ex/2, xex/2.
Verify t...
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 =
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