Show that the differential is inexact, and that y/x is an integrating factor. [ x In (x)

Question:

Show that the differential

[ x In (x) x2 dy (1+x)dx + y

is inexact, and that y/x is an integrating factor.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Mathematics for Physical Chemistry

ISBN: 978-0124158092

4th Edition

Authors: Robert G. Mortimer

See More Books

Question Posted: Dec 28, 2018 08:01 AM

See More Questions

Show that if ((x, y) = g(x)h(y) then f(x, y) dy dx=| | g(x) dxl| | h(y) dy
Show that 1/y 2 is an integrating factor for the equation in the previous example and show that it leads to the same solution.
(a) Show that a differential equation of the form a(x) u"+b(x) u' = /(x) is in self-adjoint form (11.12) if and only if b(x) = a'(x). (b) If b(x) a'(x) and a(x) 0 everywhere, show that you can...
True or False Financial ratios are the principal tools of financial analysis because they standardize financial information so that comparisons can be made between firms of varying sizes.
Lockwood Company combines its operating expenses for budget purposes in a selling and administrative expenses budget. For the first six months of 2012, the following data are available: 1. Sales:...
Answer the following questions. 5. (A) Number of Units: 2,000 4,000 Total Cost: Variable $8,000 $16,000 Fixed $8,000 $8,000 Cost per unit: Variable $4.00 (a) Fixed $4.00 (b) Looking at the table...
In order to determine the tensile Young's modulus and tensile strength of carbon fibers, a tensile test of a resin-impregnated carbon/epoxy yarn having a fiber volume fraction of 0.6 is conducted. A...
1. What are the strengths and weaknesses of the Campbell Soup Company's marketing information system? 2. What objectives does Campbell have for the marketing research efforts described in this case?...
If the Federal Reserve Bank is selling huge amounts of "reverse repos" to banks and if they are working hard to influence banks to raise their "Fed Funds Rate," and if they are selling large amounts...
A power company is considering how to increase its generating capacity to meet expected demand in its growing service area. Currently, the company has 750 megawatts (MW) of generating capacity but...
Test each of the following differentials for exactness. (a) du = y/1+x 2 dx tan 1 (x)dy, (b) du = (x 2 + 2x + 1)dx + (y 2 + 5y + 4)dy.
Evaluate D at the point (0, 0) for the function of the previous example and establish that the point is a local maximum.
Fill in the blank(s) to correctly complete each sentence. If (x) = 4x, then (2) = __________ and (-2) = ________.
To succeed in international trade, it is crucial to know what to sell and how to sell a product or service. For example, a company that specializes in pork-based products would likely not find a...
Suppose that the two bones found belonging to the male in questions 13b and 13c were his ulna, which is 21 cm long, as well as his humerus, which is 30 cm. Calculate his height using both the ulna...
How do ecological disturbances, such as wildfires, invasive species invasions, and disease outbreaks, interact with ecosystem structure and function, and what are the implications for ecosystem...
The following is the trial balance of Cornwall Distributers Limited as at the 31 December 2019 Trial Balance as at 31 December 2019 300 000 $1 Ordinary shares 200 000 8% $1 Preference shares Share...
Assume that your parents wanted to have $140,000 saved for college by your 18th birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and...
Calculate the duration of a $1,000 4-year bond with an 8% coupon (annual payments) that is currently selling at par.
Cassandra Casey operates the Futuristic Antique Store. She maintains subsidiary ledgers for accounts payable and accounts receivable. She presents you with the following information for October 2019:...
Find the upper 2.5th percentile of a t distribution with 7 df? Pulmonary Disease The data in Table 6.10 concern the mean triceps skin-fold thickness in a group of normal men and a group of men with...
Find the lower 10th percentile of a t distribution with 28 df? Pulmonary Disease The data in Table 6.10 concern the mean triceps skin-fold thickness in a group of normal men and a group of men with...
Find the upper 1st percentile of a t distribution with 16 df? Pulmonary Disease The data in Table 6.10 concern the mean triceps skin-fold thickness in a group of normal men and a group of men with...
Assume we are using MergeSort on comparable Students who are compared with respect to their gpa. Assume we have an array of 8 students: [{name:"Ali", gpa:2.9}, {name:"Aye", gpa:3.1}, {name:"Sevil",...
Consider a two-input neuron that multiplies its two inputs x1 and x2 to obtain the output 'o'. Let L be the loss function that is computed at 'o'. Suppose that if the values of 044 = 5, x1 = 2, and...
The classification problem with four classes of input vector are Class 1: {p = [1], P2 = [2]}, Class 2: {p3 = [21],P4 = []}, Class 3: {ps = [2], P6 = []}, Class 4: {p7 = [1], P = [2]} Design a...

Show that the differential is inexact, and that y/x is an integrating factor. [ x In (x)

Question:

[ x In (x) x2 dy (1+x)dx + y

Step by Step Answer:

The new diffe...View the full answer

Mathematics for Physical Chemistry

Students also viewed these Mathematics questions