x2y'' − 9xy' + 24y = 0; x4, x6, (0, [infinity]).
Mathematics, 13.03.2020 23:23 yfnal3x
Consider the differential equation
x2y'' − 9xy' + 24y = 0; x4, x6, (0, [infinity]).
Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.
The functions satisfy the differential equation and are linearly independent since
W(x4, x6) = ≠ 0 for 0 < x < [infinity].
Form the general solution.
y =
Answers: 2
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Consider the differential equation
x2y'' − 9xy' + 24y = 0; x4, x6, (0, [infinity]).
x2y'' − 9xy' + 24y = 0; x4, x6, (0, [infinity]).
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