Let k be a constant positive integer. Show that the nontrivial solutions of the equation dy dx2 +3(1+x)=0 have infinitely many zeros in (0,∞). Show also that the separation between adjacent zeros tends to zero as x → ∞.
Let k be a constant positive integer. Show that the nontrivial solutions of the equation dy dx2 +3(1+x)=0 have infinitely many zeros in (0,∞). Show also that the separation between adjacent zeros tends to zero as x → ∞.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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