Methods Of Solving First Order First Degree Differential Equations

The corner points are given as:
(i) Objective function:
Now, substitute the coordinates of the corner points into the objective function: For : For : For : For :
For : For :
Thus, the maximum value of is at point .
(ii) Objective function:
where For , we have the condition:
Simplifying this: Thus, the condition on and is .