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MAT244-2013S
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FE-1
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Topic: FE-1 (Read 7369 times)
Victor Ivrii
Administrator
Elder Member
Posts: 2607
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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
»
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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
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Victor Lam
Jr. Member
Posts: 13
Karma: 9
Re: FE-1
«
Reply #2 on:
April 17, 2013, 06:07:07 PM »
solution
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Benny Ho
Newbie
Posts: 4
Karma: 2
Q1
«
Reply #3 on:
April 17, 2013, 09:18:39 PM »
Solution
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FE-1