Solution Found!
(a) Use the family of solutions in part (a) of to find an
Chapter 1, Problem 34E(choose chapter or problem)
(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution of the initial-value problem y dy/dx = 3x, y(2) = -4. Then, by hand, sketch the graph of the explicit solution of this problem and give its interval I of definition
(b) Are there any explicit solutions of y dy/dx = 3x that pass through the origin?
Questions & Answers
QUESTION:
(a) Use the family of solutions in part (a) of Problem 33 to find an implicit solution of the initial-value problem y dy/dx = 3x, y(2) = -4. Then, by hand, sketch the graph of the explicit solution of this problem and give its interval I of definition
(b) Are there any explicit solutions of y dy/dx = 3x that pass through the origin?
ANSWER:Step 1 of 4
The given differential equation will be
Rewrite the above equation, we get
Integrate both the sides
So,