Solution Found!
(a) Show that a solution from the family in part (a) of
Chapter 1, Problem 32E(choose chapter or problem)
(a) Show that a solution from the family in part (a) of Problem 31 that satisfies \(y^{\prime}=y^{2}\), y(1) = 1, is y = 1/(2 - x).
(b) Then show that a solution from the family in part (a) of Problem 31 that satisfies \(y^{\prime}=y^{2}\), y(3) = -1, is y = 1/(2 - x).
(c) Are the solutions in parts (a) and (b) the same?
Text Transcription:
y^prime=y^2
Questions & Answers
QUESTION:
(a) Show that a solution from the family in part (a) of Problem 31 that satisfies \(y^{\prime}=y^{2}\), y(1) = 1, is y = 1/(2 - x).
(b) Then show that a solution from the family in part (a) of Problem 31 that satisfies \(y^{\prime}=y^{2}\), y(3) = -1, is y = 1/(2 - x).
(c) Are the solutions in parts (a) and (b) the same?
Text Transcription:
y^prime=y^2
ANSWER:Step 1 of 5
In this question, we have to verify that is a one-parameter family of solutions of the differential equation.