MAT244-2013S > Final Exam

FE-1

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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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