Determine for which values of m the function (x) = xm is a solution to the given equation. d²y dy - 13x + 4y = 0 dx (a) 4x2_ dx² d²y dx² (b) x². dy +7x+4y=0 dx (a) m = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Determine for which values of m the function (x) = xm is a solution to the given equation.
(a) 4x2 d²y
dy
- 13x + 4y = 0
dx²
dx
d²y
dx²
(b) x².
dy
+7x+4y=0
dx
(a) m =
(Type an exact answer, using radicals as needed. Use a comma to separate answers
as needed.)
Transcribed Image Text:Determine for which values of m the function (x) = xm is a solution to the given equation. (a) 4x2 d²y dy - 13x + 4y = 0 dx² dx d²y dx² (b) x². dy +7x+4y=0 dx (a) m = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
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