Solution for problem 13 Chapter 16.1
?Solving an Exact Differential Equation In Exercises 5-14, determine whether the differential equation is exact. If it is,find the general solution.
Calculus: Early Transcendental Functions | 6th Edition
Solving an Exact Differential Equation In Exercises 5-14, determine whether the differential equation is exact. If it is,find the general solution.
\(\frac{1}{(x-y)^{2}}\left(y^{2} d x+x^{2} d y\right)=0\)
Text Transcription:
1/(x-y)^2 (y^2 dx+x^2 dy)=0
Step 1 of 5) The integral is L 1 0 L 1 x L y-x 0 F(x, y, z) dz dy dx. For example, if F(x, y, z) = 1, we would find the volume of the tetrahedron to be V = L 1 0 L 1 x L y-x 0 dz dy dx = L 1 0 L 1 x ( y - x) dy dx = L 1 0 c12 y2 - xy d y=x y=1 dx = L 1 0 a12 - x + 1 2 x2b dx = c12 x - 1 2 x2 + 1 6 x3 d 0 1 = 1 6 . We get the same result by integrating with the order dy dz dx. From Example 2,
Chapter 16.1, Problem 13 is Solved
Enter your email below to unlock your verified solution to:
?Solving an Exact Differential Equation In Exercises 5-14, determine whether the differential equation is exact. If it is,find the general solution.