Consider the differential equation y' = y² where y is considered to be a function of . 1 In this exercise, you will determine whether or not y = is a solution to the differential equation x + c for any constant c. (a) First substitute the above expression for y into the left side of the differential equation. In other words, compute y'. (b) Next substitute the above expression for y into the right side of the differential equation. In other words, compute y². 1 (c) Based on your answers to (a) and (b), can we say that y - is a solution to the differential x + c equation? O Yes O No M B
Consider the differential equation y' = y² where y is considered to be a function of . 1 In this exercise, you will determine whether or not y = is a solution to the differential equation x + c for any constant c. (a) First substitute the above expression for y into the left side of the differential equation. In other words, compute y'. (b) Next substitute the above expression for y into the right side of the differential equation. In other words, compute y². 1 (c) Based on your answers to (a) and (b), can we say that y - is a solution to the differential x + c equation? O Yes O No M B
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 1CR
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