A. Use the "mixed partials" check to show that the following differential equation is exact. (3x? + 6y – 2y) dæ + (6x – 16y – 6xy?) dy = 0, B. Find a function F(x, y) whose differential, dF(x, y), is...

Extracted text: A. Use the "mixed partials" check to show that the following differential equation is exact. (3x? + 6y – 2y) dæ + (6x – 16y – 6xy?) dy = 0, B. Find a function F(x, y) whose differential, dF(x, y), is the left hand side of the differential equation. That is, the level curves F(x, y) differential equation. = C are solutions to the