12. Given the differential equation x dx = 0 and one solution y₁ = A (constant), use reduction of order to find a second solution, y₂. If y(1) = 3 and y'(1) = 6, find the solution, y.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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12. Given the differential equation x
dx²
dx
+ 4y = 0 and one solution y₁ = A
(constant), use reduction of order to find a second solution, y₂. If y(1) =
3 and y' (1) = 6, find the solution, y.
Transcribed Image Text:12. Given the differential equation x dx² dx + 4y = 0 and one solution y₁ = A (constant), use reduction of order to find a second solution, y₂. If y(1) = 3 and y' (1) = 6, find the solution, y.
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