MAT244-2013S > Final Exam
FE-1
(1/1)
Victor Ivrii:
Find the general solution of the differential equation
\begin{equation*}
y' +y \tan x =\sin (x)
\end{equation*}
and solve the initial value problem $y(0) = 1$.
Jason Hamilton:
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
Victor Lam:
solution
Benny Ho:
Solution
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