Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Possible Value - Ordinary and Partial Differential Equations - Solved Exam, Exams of Differential Equations

Key points of this exam paper are: Possible Value, Autonomous Equation, Unique Solution, Combination, Real Numbers, Guaranteed, Second Order, Linear Equation, Wronskian, General

Typology: Exams

2012/2013

Uploaded on 03/21/2013

ambani
ambani 🇮🇳

5

(2)

36 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MATH 251
Final Exam
May 3, 2010
ANSWER KEY (Form A)
1. C
2. A
3. A
4. C
5. C
6. B
7. D
8. C
9. A
10. A
11. B
12. (a) C (b) B (c) A (d) E (e) B (f) F
13. (a) F (b) T (c) T (d) T (e) F (f) F
14. (a)
100
22
π
λ
n
n
=,
=
10
cos)( xn
xX
n
π
, n = 1, 2, 3, …
(b) Yes, it is an eigenvalue; X
0
(x) = 1.
15.
(a) -- (b) a
1
= 0 (c) iii
(d) F(−2) → 0, F(1
/
3) → 8
/
9
16.
(a) )4cos(30)cos(1020),(
483
xexetxu
tt
−−
+−=
(b)
20),1(lim =
∞→
tu
t

Partial preview of the text

Download Possible Value - Ordinary and Partial Differential Equations - Solved Exam and more Exams Differential Equations in PDF only on Docsity!

MATH 251

Final Exam

May 3, 2010

ANSWER KEY (Form A)

1. C

2. A

3. A

4. C

5. C

6. B

7. D

8. C

9. A

10. A

11. B

  1. (a) C (b) B (c) A (d) E (e) B (f) F
  2. (a) F (b) T (c) T (d) T (e) F (f) F
  3. (a)

100

2 2 π λ

n n =^ ,^  

( ) cos

n x X (^) n x

, n = 1, 2, 3, …

(b) Yes, it is an eigenvalue; X 0 (x) = 1.

  1. (a) -- (b) a 1 = 0 (c) iii

(d) F(−2) → 0, F(1 / 3) → 8 / 9

  1. (a) ( ,) 20 10 cos( ) 30 cos( 4 )

3 48 u xt e x e x

− t − t = − +

(b) lim ( 1 ,)= 20 → ∞

u t t