Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Fall 2011
Worked Out Homework 1
MA 303 Fall 2011 (Aaron N. K. Yip)
Friday, Sept. 2, in class
1. (a) Do Textbook (BoyceDiPrima, 9thed.) section 3.3, page 165, #34 (on Euler Equation)
(b) Use the above result to nd the general solutions y (t) of the the following d
Laboratory Report Experiment 4: Radial Flow between Parallel Disks
Report Prepared By: Karan Shah Naman Kandoi Luke Malapira Nitin Bansal October 19, 2010 Lab Preparation Division: 06
ME 309L
Differential equations for engineering and sciences
MA 303

Fall 2012
Math 303Final Practice.
(*): Be aware of possible typographical errors.
(1) The style of the nal exam will be similar to the practice.
(2) The following table will be 0
n the nal exam.
(3) For more practice problems, see midterm practice problems an
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
MA 30300
EXAMFLINSTRUQTIQNS. _ . _
NAME —_ PUID
. Fill in your name and your PUID on the question sheets (above).
. On the scantron sheet, ﬁll in the instructor’s name Chen, Dong, Howard, or Lundberg
and the course number, which is MA30300.
. Fill in
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Test 1
MTH 335201
Spring 2005
Total Pts: 110 2/23/2005
Name:
Total Received:
Show all work for full credit. Do not write your answers in question paper. Circle
all your answers.
dy
= y 2 3y,
1. For the autonomous rstorder dierential equation dx
(a) nd t
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Exam 1 Math 335
Fall 2007
Total Pts:100
Name:
10/1/2007
Total Received:
Show all work for full credit.
1. (6 Pts) Determine the order of the given differential equation; also state whether
equation is linear or nonlinear.
2
(a) t2 y 00 + ty 0 + 2y = sin t
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Exam 1
Name:
Math 335201
Spring06
Total Pts: 100
Instructor: Basant Karna
2/08/2006
Received:
Answer all questions. Show all work for full credit.
Do not write anything on this sheet except your NAME.
1. Verify that the function y = cxe2x is a solution o
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Exam 2
Math 335201
Name:
Spring06
Total Pts: 100
Instructor: Basant Karna
3/15/2006
Received:
Answer all questions. Show all work for full credit.
Do not write anything on this sheet except your NAME.
(2 8 = 16 Pts)
1. Solve the following problems.
x
x
(
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Test 2
MTH 335201
Spring 2005
Total Pts: 110 4/13/2005
Name:
Total Received:
Show all work for full credit. Do not write your answers in question paper. Circle
all your answers.
1. Solve the given dierential equation by undetermined coecients.
(a) y 2y +
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Exam 2 Math 335
Fall 2007
Total Pts:100
Name:
11/7/2007
Total Received:
Show all work for full credit.
1. (15 Pts) Find the general solution of the differential equation y 000 4y 0 = t + et .
2. (7 Pts) Determine a suitable form of yp if the method of und
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Exam 2
Name:
Math 335
Spring10
Total Pts: 100
Instructor: Basant Karna
3/18/2010
Received:
Answer all questions. Show all work for full credit.
Do not write anything on this sheet except your NAME.
1. The number N (t) of supermarkets throughout the countr
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
MA 30300 SAMPLE MIDTERM EXAM #1 SOLUTIONS
Problem 1. Consider the differential equation
x3 x2 y 00 + (x 1) y 0 + y = 0.
a. Find the singular points of the differential equation.
b. Classify these singular points as regular or irregular. Explain your reaso
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
MA303: Practice Test 1
Answer all questions, showing your working. Write your name on the question paper
and hand it in together with your solutions. No books, notes or calculators are allowed.
Question 1
(a) (4 points) What are the singular points of the
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
V Eéﬂwﬁiwiﬁgcé Saree: So mm . 0f Second omen (D
." LWAQLr {SimFa n9
Q§MM1 COM/Q VCUhYLNQ’CO mews diﬁémnx'd? ecfmmn
W) 3" + @0034 mm : 0 9%)
We, mainlyf (answer ‘the Geese where P, 02 ,Q are“ Potx/nommJZs .
W We fW‘st QDWQ (ﬂ I‘n iha net‘jhborhweo 0f om M
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
00
1. Given that the recurrence relation for a series solution Zanw" to the equation
n=0
an . .
, n 2 0. The solutlon correspondmg
n+2
y :vy y = 0 about $0 = 0 is an 2
toa0=1,a1=0is
3 5 7
A.a: $3 a; 1x7:
3 5 7
3'5 $2 54:226:
2 3
C.1+2
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Math 303  Final Review 2
Georgi Kapitanov
Purdue University
Georgi Kapitanov
Math 303  Final Review 2
Equations with a step function on the RHS
Form: ay 00 + by 0 + cy = g(t); y (0) = y0 ; y 0 (0) = y1 ; g(t) is
a piecewisecontinuous function
How to so
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Math 303  Second Midterm Review
Georgi Kapitanov
Purdue University
Georgi Kapitanov
Math 303  Second Midterm Review
Types of equations/systems
Differential Equations with Discontinuous Forcing
Functions (i.e. nonhomogeneous equations, second order,
with
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Midterm 1 Review
Georgi Kapitanov
Purdue University
Georgi Kapitanov
Midterm 1 Review
Terms to know
power series, index, coefficient, center, ordinary point,
recurrence relation, singular point, regular singular point, Euler
equation, indicial equation, e
Differential Equations And Partial Differential Equations For Engineering And T
MA 303

Spring 2014
Final Review 3
Georgi Kapitanov
Purdue University
Georgi Kapitanov
Final Review 3
Terms to know
ordinary point, recurrence relation, singular point, regular
singular point, Euler equation, indicial equation, exponents at
the singularity, Laplace transform