Toronto Math Forum
Welcome,
Guest
. Please
login
or
register
.
1 Hour
1 Day
1 Week
1 Month
Forever
Login with username, password and session length
News:
Home
Help
Search
Calendar
Login
Register
Toronto Math Forum
»
MAT244-2013S
»
MAT244 Math--Tests
»
Final Exam
»
FE-1
« previous
next »
Print
Pages: [
1
]
Author
Topic: FE-1 (Read 7497 times)
Victor Ivrii
Administrator
Elder Member
Posts: 2607
Karma: 0
FE-1
«
on:
April 17, 2013, 02:59:06 PM »
Find the general solution of the differential equation
\begin{equation*}
y' +y \tan x =\sin (x)
\end{equation*}
and solve the initial value problem $y(0) = 1$.
«
Last Edit: April 17, 2013, 11:12:22 PM by Victor Ivrii
»
Logged
Jason Hamilton
Jr. Member
Posts: 14
Karma: 8
Re: FE-1
«
Reply #1 on:
April 17, 2013, 04:22:46 PM »
find integrating factor: u=exp(integral tanxdx)=sec x
secx y= integral (tan x)= - ln (cosx) +C
y=-cosx(ln cosx) + C cosx
y(0)=1 => C=1
y=-cosx(ln cosx) + cosx
Logged
Victor Lam
Jr. Member
Posts: 13
Karma: 9
Re: FE-1
«
Reply #2 on:
April 17, 2013, 06:07:07 PM »
solution
Logged
Benny Ho
Newbie
Posts: 4
Karma: 2
Q1
«
Reply #3 on:
April 17, 2013, 09:18:39 PM »
Solution
Logged
Print
Pages: [
1
]
« previous
next »
Toronto Math Forum
»
MAT244-2013S
»
MAT244 Math--Tests
»
Final Exam
»
FE-1