Question
Find the particular solution with given initial conditions : $\frac{d y}{d x}=e^{2 y} \cos x$ when $x=\frac{\pi}{6}, y=0$
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$\frac{1}{\sqrt{3}}$, find the values of $p$ and $q$.
$\int \frac{3 x+4}{x^2+6 x+5} d x$
Solve the following LPP by using graphical method.
Maximize : $Z =6 x+4 y$
Subject to $x \leq 2, x+y \leq 3,-2 x+y \leq 1, x \geq 0, y \geq 0$.
Also find maximum value of $Z$.