uppose that yi (x) =x² denotes a nontrivial solution of a homogeneous linear econd-order differential equation xy +2xy – 6y=0, nd y, is defined on an intervalI. From a reduction of order method, we know at the second solution is - S P(x)dx -dx. y2 = yı (x) [vi (x))? se the given formula to find y2.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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DIFFERENTIAL EQUATIONS 

 

Suppose that yı (x) =x² denotes a nontrivial solution of a homogeneous linear
second-order differential equation
zy" +2xy – 6y = 0,
and y, is defined on an interval I. From a reduction of order method, we know
that the second solution is
y2 = yı (x) /
– S P(x)dx
-dx.
[vi (x)]?
Use the given formula to find y2.
Transcribed Image Text:Suppose that yı (x) =x² denotes a nontrivial solution of a homogeneous linear second-order differential equation zy" +2xy – 6y = 0, and y, is defined on an interval I. From a reduction of order method, we know that the second solution is y2 = yı (x) / – S P(x)dx -dx. [vi (x)]? Use the given formula to find y2.
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