Find the general solution of the given equation on (0, ∞). x²y"-xy-3y=9x² Answer Format Note: Your answer should be of the form y = yp+C₁y1+c2y2+, where {y1, 32, ...} is a fundamental set of solutions to the complementary equation. That is, the coefficient of y; (for i=1,2,...) should only consist of the arbitrary constant cį. Y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Kailashben 

Find the general solution of the given equation on (0, ∞).
x²y"-xy-3y=9x²
Answer Format Note: Your answer should be of the form y = yp+C₁y1 + c2y2+, where {y1, 32,...} is
a fundamental set of solutions to the complementary equation. That is, the coefficient of y; (for
i=1,2,...) should only consist of the arbitrary constant Cį.
Y
Transcribed Image Text:Find the general solution of the given equation on (0, ∞). x²y"-xy-3y=9x² Answer Format Note: Your answer should be of the form y = yp+C₁y1 + c2y2+, where {y1, 32,...} is a fundamental set of solutions to the complementary equation. That is, the coefficient of y; (for i=1,2,...) should only consist of the arbitrary constant Cį. Y
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