Solution Found!
Answer: Determine whether each of the equations in 1 through 8 is exact. If it is exact
Chapter 2, Problem 3(choose chapter or problem)
QUESTION:
Determine whether each of the equations in 1 through 8 is exact. If it is exact, find the solution. (3x2 2xy + 2) + (6y2 x2 + 3) y_ = 0
Questions & Answers
QUESTION:
Determine whether each of the equations in 1 through 8 is exact. If it is exact, find the solution. (3x2 2xy + 2) + (6y2 x2 + 3) y_ = 0
ANSWER:Step 1 of 2
The given differential equation is
Rewriting the differential equation as,
Now, a differential equation of the form is called exact D.E if
Comparing the differential equations we have,
Differentiating partially M and N with respect to x and y,
So,