Elementary Differential Equations and Laplace Transforms
MATH 267D

Spring 2014
N ame:
Math 267 Section T, Test 3
1. (35 points) Find the general solution of the following differential equation
62 avg ,
rlg) F39): a jgigb
POP .13 $0lV (A~3:Ll5193\5
For [169% +35 solve, (A Baal) :0
v «l o
9 0 l o , {a }L O
(0 4g 0 0 ~2
Elementary Differential Equations and Laplace Transforms
MATH 267D

Spring 2014
MATH 267 Section D, Fall 2013 Test No. 2
Problem No 1
Consider the dierential equation
y 2y + 2y = 0.
(10 Points) Find two linearly independent solutions of this equation.
(6 Points) Use the Wronskian to verify that the solutions you have found
are in fac
Elementary Differential Equations and Laplace Transforms
MATH 267D

Spring 2014
MATH 267 (Section T) Test No. 1
Problem 1
Consider the boundary value problem
dy
x2 1
=
y(0) = 1
dx
ey
(a) (7 points) Do one iteration of Euler method with step h = 0.1 to approximate the value of y(0.1).
(b) (18 points) Find in explicit form the solution