Consider the differential equation
4y'' β 4y' + y = 0; ex/2, xex/2.
Verify t...
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Mathematics, 19.02.2020 01:00 georgettemanga2001
Consider the differential equation
4y'' β 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
(β[infinity], [infinity]).
The functions satisfy the differential equation and are linearly independent since W(ex/2, xex/2) =
β 0 for
β[infinity] < x < [infinity].
Form the general solution.
y =
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