2065s10review1

# 2065s10review1 - Math 2065 Section 1 Review Exercises for...

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Math 2065 Section 1 Review Exercises for Exam I The syllabus for Exam I is Chapter 1 and Section 2.1. A copy of Tables 2.1 and 2.2 on Pages 103 and 104 will be provided with the exam. You should bring your own paper for the exam, since space will (in general) not be provided on the exam paper for answers. You will need to show all relevant work in order to receive partial credit. 1. Determine if each of the following equations is separable (S), linear (L), homogeneous (H), Bernoulli(B), exact (E), or none of these (N). List all types that apply for each equation. Some algebraic manipulation may be needed to put the equation in the standard form for determining each type. Do not solve the equations! (a) t 2 y 0 = 1 ¡ 2 ty (b) yy 0 = 3 ¡ 2 y (c) y 0 = y 2 ¡ ty (d) y 0 = y 2 ¡ t (e) ty 0 = y ¡ 2 ty (f) ( t 2 + 3 y 2 ) y 0 = ¡ 2 ty (g) (2 ty ¡ y 3 ) y 0 = ¡ 1 ¡ t ¡ y 2 (h) t + y 0 = y ¡ 2 ty 2. Find the general solution of each of the following diﬁerential equations. You must show your work.

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## 2065s10review1 - Math 2065 Section 1 Review Exercises for...

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