M334Su10exam3-solutions

M334Su10exam3-solutions - Math 334-1 (Ordinary Differential...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 334-1 (Ordinary Differential Equations) Exam 3 RED KEY Part I: Multiple Choice . Mark the correct answer on your scantron. Each question is worth 5 points. 1. Find the regular singular points of the differential equation ( t 2- 1) 2 y 00 + ( t 2- 1) cos t t y + t + 1 t- 1 y = 0 a)-1 only b) 0 only c) 1 only d)-1,1 e)-1,0 f) 0,1 g)-1,0,1 h) None of these Solution: e) 2. Solve t 2 y 00 + 5 ty + 4 y = 0 y (1) = 0 , y (1) = 1 . What is y ( e )? a) e- 2 b) e- 1 c) 1 d) e e) e 2 f) None of these Solution: a) 3. What are the exponents at the singularity x = 0 (the roots of the indicial equation) for the differential equation x 2 (1- x ) y 00- (1 + x ) y + 2 xy = 0? a)-2,0 b) 2,1 c)-1,2 d) 0,2 e) 0,-1 f) 0,1 g) 1,1 h) None of these. Solution: h) 4. Which function cannot have a Laplace Transform? a) t 2 sin t b) e 100 t c) sec t d) 1 t + 1 e) e t cosh( t ) f) All of these functions have a Laplace Transform. Solution: c) 5. Let F ( s ) = s + 3 s 2 + 4 s + 5 . Find its inverse Laplace transform, f ( t ). What is f ( )? a)- e- 2 b) e- 2 c)- 2 e- 2 d) 2 e- 2 e)- e- f) e- g) None of these Solution: a) 6. Let f ( t ) = ( t 2 t 2 1 t > 2 and let F ( s ) be its Laplace Transform. What is F (1)?...
View Full Document

This note was uploaded on 11/29/2011 for the course MATH 334 taught by Professor Dallon during the Fall '08 term at BYU.

Page1 / 6

M334Su10exam3-solutions - Math 334-1 (Ordinary Differential...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online