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Solved: PROBLEM 52E(a) If a > 0, discuss the differences,
Chapter 2, Problem 52E(choose chapter or problem)
(a) If a > 0, discuss the differences, if any, between the solutions of the initial-value problems consisting of the differential equation dy/dx = x/y and each of the initial conditions y(a) = a, y(a) = -a, y(-a) = a, and y(-a) = -a.
(b) Does the initial-value problem dy/dx = x/y, y(0) = 0 have a solution?
(c) Solve dy/dx = x/y, y(1) = 2 and give the exact interval I of definition of its solution
Questions & Answers
QUESTION:
(a) If a > 0, discuss the differences, if any, between the solutions of the initial-value problems consisting of the differential equation dy/dx = x/y and each of the initial conditions y(a) = a, y(a) = -a, y(-a) = a, and y(-a) = -a.
(b) Does the initial-value problem dy/dx = x/y, y(0) = 0 have a solution?
(c) Solve dy/dx = x/y, y(1) = 2 and give the exact interval I of definition of its solution
ANSWER:Step 1 of 4
(a) Here, we are asked to discuss about the differences between the solutions of the initial value problem 
On solving the above equation, we get
