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**Term Test 1 / Problem 1 (noon) **

« **on:**October 23, 2019, 05:54:36 AM »

**(a)**Find integrating factor and then a general solution of ODE

\begin{equation*}

\bigl(2y+y^2\sin(x)\bigr) + \bigl(\sin(2x)+2y\cos(x)\bigr) y'=0

\end{equation*}

**(b)**Also, find a solution satisfying $y(\dfrac{\pi}{4})=\sqrt{2}$.