Solution Found!
Matching direction fields Match equations (a)–(d) with the
Chapter 7, Problem 37E(choose chapter or problem)
Matching direction fields Match equations (a)–(d) with the direction fields A–D.
(a) \(y^{\prime}(t)=t / 2\)
(b) \(y^{\prime}(t)=y / 2\)
(c) \(y^{\prime}(t)=\left(t^{2}+y^{2}\right) / 2\)
(d) \(y^{\prime}(t)=y / t\)
Questions & Answers
QUESTION:
Matching direction fields Match equations (a)–(d) with the direction fields A–D.
(a) \(y^{\prime}(t)=t / 2\)
(b) \(y^{\prime}(t)=y / 2\)
(c) \(y^{\prime}(t)=\left(t^{2}+y^{2}\right) / 2\)
(d) \(y^{\prime}(t)=y / t\)
ANSWER:
Solution:-
Step1
Given that
(a) y′(t) = t/2
(b) y′(t) = y/2
(c) y′(t) = (t2 + y2)/2
(d) y′(t) = y/t
Step2
To find
Match equations (a)–(d) with the direction fields A–D.
(a) y′(t) = t/2
(b) y′(t) = y/2
(c) y′(t) = (t2 + y2)/2