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ln Exercises #1 - 4, solve each of the equations.
n
r.
t3
a!- x
dx
-= Y +1 L!+Dcfw_J=*d/
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2.
dx
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Math 3F Differential Equations
College of Alameda
Professor Valdez
Spring 2015
Name _
Midterm Exam 3
This exam is due Wednesday, 5/13/15 at 4:30 pm sharp. One point will be deducted from
your exam for each minute late. Please carefully read all instructio
Math 3F - Differential Equations
College of Alameda
Professor Valdez
Spring 201 5
Midterm Exam 1
You will have 1 hour and 25 minutes to complete the entire exam. Please show all of your
work to ensure a maximum amount of credit is received. You may only
Differential Equa
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Test #2
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Tanaka
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general solution of the Cauchy-Euler equation (x
Find the
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t
*3)'
y" +3(x +3)y' + 5y
- 0,
x+3>0.
2e-*, y(0)=t, y'(0) -2.
2.
Solvethe initialvalue problem y" + y =x+
3.
Solve the Cauchy-Euler equation
Differential Equations
t.
Determine whether
find the solution.
2.
Find an integrating fa
integrating factor solve
t
t
y sinxdx +
(2+
cos
x)dy
:
Q.
3
- x-l-y - (x -1)* Oy any method.
.
\ /
3.
Solve the linear equation y'
4.
Solve the Bernoulli equationxy'
Assignment
Differe ntia I Eq uations
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#5
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Tanaka
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ln Exercises #1 - 4, solve each equation by the reduction of order. Begin by finding one
nontrivial solution to the related homogeneous equation.
t.
y"
2.
n2nt2
5. xy+xy-!=x
y"-4y=e'*
4
Differential
Equations
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Assignment #2 - Topics t.3 -
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1.4
Tanaka
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ln Exercises #1 - 4, (a) Find an integrating factor that is a function of one variable only. (b) lf
you find an integrating factor, solve the equation.
1.
(x+2y2)d*+ xydy -Q
Math 3F w Differential Equations
College of Alameda
Professor Valdez
Spring 20i 5
Midterm Exam 2
You will have 1 hour and 45 minutes to complete the entire exam. Piease show all of your
work to ensure a maximum amount of credit is received. Tackle the one