Example 12. Initial Value Problems. (a) Verify that, for any arbitrary constant C, the family of functions y(x) = Ce is is a one- parameter family of solutions of the differ- ential equation y' - y = 0 (b) Find a solution of the IVP: y-y=0 y(0) = 2. (c) Find a solution of the IVP: y' - y = 0 y(1) = -3.
Example 12. Initial Value Problems. (a) Verify that, for any arbitrary constant C, the family of functions y(x) = Ce is is a one- parameter family of solutions of the differ- ential equation y' - y = 0 (b) Find a solution of the IVP: y-y=0 y(0) = 2. (c) Find a solution of the IVP: y' - y = 0 y(1) = -3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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