G 11. x²y" - 3xy' + 4y = 0, y(-1)=2, y'(-1) = 3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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Question 11

In each of Problems 9 through 11, find the solution of the given initial-
value problem. Plot the graph of the solution and describe how the
solution behaves as x → 0.
G 9. 2x²y" + xy' - 3y = 0, y(1) = 1, y'(1) = 4
G 10. 4x2y" + 8xy' + 17y = 0,
x²y" - 3xy' + 4y =0,
G 11.
y(1)=2, y'(1) = −3
y(−1) =2, y'(−1) = 3
Transcribed Image Text:In each of Problems 9 through 11, find the solution of the given initial- value problem. Plot the graph of the solution and describe how the solution behaves as x → 0. G 9. 2x²y" + xy' - 3y = 0, y(1) = 1, y'(1) = 4 G 10. 4x2y" + 8xy' + 17y = 0, x²y" - 3xy' + 4y =0, G 11. y(1)=2, y'(1) = −3 y(−1) =2, y'(−1) = 3
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