Question
Solve the differential equation : $(x+y) \frac{d y}{d x}=1$.
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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 $Z$.
$\int x^2 \cos ^{-1} x d x$