Spring 2015 MA 3253-03 Differential Equations MWF 2.00 PIVI
Quiz 14 (7.4)
4/22/2015
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Spring 2015 MA 3253-03 Differential Eqnations NIWF 2-00
Quiz 13 (4.9)
4/20/2015
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MA 3253 (Differential Equation I) Lecture 7
Section 3.1
Linear Models
1. Newtons Law of Cooling
The rate of heat loss of a body is proportional to
Notations
T (t):
Tm :
dT
:
dt
Newtons Law of Coolin
F17
MA 3253 - Quiz 1
08/25
NAME (Print):
Instructions:
1. Circle your class session: 10am-10:50am or 1pm-1:50pm
2. The duration of this quiz is 20 minutes.
3. You must show complete work to receive cr
MA 3253 (Differential Equation I) Lecture 4
Section 2.3
Linear Equations
Review. The general form of a first-order differential equation is
The standard form of the first-order equation is
Example 1.
MA 3253 (Differential Equation I) Lecture 5
Section 2.4
Exact Equations
Example 1. Solve the differential equation
2x + y 2 + 2xyy 0 = 0.
General Case
We consider the differential equation
M (x, y) +
MA 3253 (Differential Equation I) Lecture 1
Section 1.1
Definitions of Terminology
Example 1. (Types of equations)
1. Find x in
x2 + 2x + 1 = 0.
2. Find f (t) in
f (t)et + sin(t) = cos(t).
3. Find y(t
MA 3253 (Differential Equation I) Lecture 6
Section 2.5
Solutions by Substitutions
Example 1. Solve the differential equation
dy
y 4x
=
.
dx
xy
(Hint: substitute v = y/x.)
MA 3253 - Lecture 6
page 1 o
MA 3253 (Differential Equation I) Lecture 3
Section 2.2
Separable Equations
Example 1. Solve the differential equation
dy
= e3x+2y .
dx
Def. A first-order equation of the form
dy
=
dx
is called
Questi
MA 3253 (Differential Equation I) Lecture 2
Review: (Problem #32 in Sec.1.1)
Find the value of m so that the function y = xm is a solution to
x2 y 00 7xy 0 + 15y = 0.
Section 1.2
Initial Value Problem
Spring 2015 NIA 3253—03 Diiferential Equations
Test 2
3/23/2015
Version B
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