# Differential Equations Problems

Differential Equations Problems
Differential Equations Problems
• Page 1
1.

Two numbers have a difference of 16. Find the numbers if the result of adding their sum and their product is a minimum.

2.

Find the critical numbers of this function: h(p) = (p-4)/(p^2+5)

Solve the equation $4x^2 + 49y^2$ = 196 using explicit differentiation. Part a) Find dy / dx using implicit differentiation. Part b) Solve the equation explicitly for y and differentiate to get dy / dx in terms of x. (consider only the first and second quadrants for this part).