Question: Determine whether the given differential equation is exact. If it is exact, solve it. (x 3 + y 3 ) dx + 3xy 2 dy

Determine whether the given differential equation is exact. If it is exact, solve it.

(x3 + y3) dx + 3xy2 dy = 0

Step by Step Solution

★★★★★

3.41 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given differential equation x 3 y 3 dx 3xy 2 dy 0 1 Eq 1 is in the form of Mdx Ndy o eq ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

1596_6062c74cee974_674641.pdf

180 KBs PDF File

Word file Icon

1596_6062c74cee974_674641.docx

120 KBs Word File

Students Have Also Explored These Related First Course Differential Equations Questions!

Q:

A non-angler, curious to know what counts as a good day of fishing (F) at the lake and puzzled by the phenomenon that it can sometimes be a good day even when no fish are caught, decides to create a...

Q:

For the matrix A below, find a value of k so that the dimension of the eigenspace associated with the eigenvalue 1 = -2 is two. -2 -5 -7 k 12 14 A = 0 -3 -2 0 -2 k= 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (2xy 2 - 3) dx + (2x 2 y + 4) dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (2y 1/x + cos 3x)dy/dx + y/x 2 4x 3 + 3y sin 3x = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (tan x - sin x sin y) dx + cos x cos y dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (2x + y) dx - (x + 6y) dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (2x - 1) dx + (3y + 7) dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (x 2 - y 2 ) dx + (x 2 - 2xy) dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (5x + 4y) dx + (4x - 8y 3 ) dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (3x 2 y + e y ) dx + (x 3 + xe y - 2y) dy = 0

Q:

Determine whether the given differential equation is exact. If it is exact, solve it. (2y sin x cos x - y + 2y 2 e xy2 ) dx = (x - sin 2 x - 4xy exy2 ) dy

Q:

Consider the three linearly separable two-dimensional input vectors in the following figure. Find the linear SVM that optimally separates the classes by maximizing the margin. + +

Q:

Cinnamic alcohol is used mainly in perfumery, particularly in soaps and cosmetics. Its molecular formula is C9H10 O. (a) Calculate the percent composition by mass of C, H, and O in cinnamic alcohol....

Q:

The basic difference between speculators and hedgers in futures contracts is that speculators:

Q:

44. In generalization of Problem 8 of Chapter 7. let (Xvi' . .. Xvp)' v = 1, . . . n. be independent normal p-vectors with common covariance matrix and with means s " - '\' a a(i) lib,,; - i...J...

Q:

In problem use (18) to find the general solution of the given differential equation on (0, ). x 2 y" + (x 2 - 2)y = 0

Q:

Without actually solving the differential equation (1 - 2 sin x)y'' + x y = 0, find a lower bound for the radius of convergence of power series solutions about the ordinary point x = 0.

Q:

Use an appropriate series in (2) to find the Taylor series of the given function centered at the indicated value of a. Write your answer in summation notation. sin x, a = 2 Use periodicity.

Q:

Which of the following are consequences of a low FICO credit score? (1) higher cost of debt (interest rate), as compared to someone with a higher credit score (2) less availability of credit, as...

Q:

What is the purpose of closing the books? What is the purpose of closing entries? Distinguish between temporary and permanent accounts. Upon completing closing entries the balance in temporary...

Q:

Read the article"Will We Ever Stop Using Fossil Fuels? to answer questions. The links of the article is below. http://web.mit.edu/knittel/www/papers/JEP_hydro_latest.pdf G. What can we learn from...