Show that y = x2 + C is a solution of the differential equation dy/dx = x/y

Question:

Show that y = √x2 + C is a solution of the differential equation dy/dx = x/y for any real number C. Find the particular solution that passes through (-6,7).

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

Step by Step Answer:

Related Book For book-img-for-question

College Mathematics for Business Economics Life Sciences and Social Sciences

ISBN: 978-0321614001

12th edition

Authors: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen

See More Books

Question Posted: Apr 14, 2016 08:28 AM

See More Questions

a. Show that y = C/x is a solution of the differential equation dy/dx = - y/x for any real number C. Find the partic solution that passes through (2,5). b. Show that y = 2/(1 + ce-6t) is a solution...
Problems 27-34 refer to the following slope fields: a. Which slope field is associated with the differential equation dy/dx=y+1? Briefly justify your answer.
Show that Eq. (7.4.7) can also be expressed as where b 23 is the slope coefficient in the regression of X 2 on X 3 . Recall that b 23 = Î£x 2i x 3i / Î£x 2 3i . Ey,(x2 ...
elow is selected financial information for SunRise Company. Selected Balance Sheet Data - As of Dec. 31, 2018 Dec. 31, 2017 Cash and short-term investments $ 958,245 $ 745,800 Accounts Receivable...
Mountain Mabels is a small general store located just outside of Yellowstone National Park. The store uses a periodic inventory system. Every January 1, Mabel and her husband close the store and take...
Use the Chain Rule to find the derivative. y = tan( 2 4)
Obtain customer feedback about the project
Multiple Choice Questions 1. Suzlon, a subsidiary of Patni, provides services to Patni. During 2013, Suzlon charged $3,000,000 for services provided to Patni. Cost of the services provided was...
Q2.Discuss the activities of sales order entry? Analyze sales order threats and the controls for those threats?
There is a lottery with n coupons and n people take part in it. Each person picks exactly one coupon. Coupons are numbered consecutively from 1 to n, n being the maximum ticket number. The winner of...
In Problems 19-26, find the general or particular solution, as indicated, for each differential equation. a. b. c.
In Problems 41-48, use a graphing calculator to graph the given examples of the various cases in Table 1 on page 727. a. Unlimited growth: y = 5,250e012t 0 ¤ t ¤ 10 0 ¤ y...
In a class of 32 students in a school, the pupils have the option of playing football (F) and/or tennis (T) for their sports lessons. The numbers are given in the Venn diagram below. a. What...
You are expected to suggest several functional tactics and how these short-term activities are used to achieve short term objectives and establish a competitive advantage. Within the general...
Carbon dioxide and nitrogen experience equimolar counterdiffusion in a circular tube whose length and diameter are 1m and 50mm, respectively. The system is at a total pressure of 1 atm and a...
A licensee recently was placed on court - ordered probation. Does the licensee have to report this to the Board?
1. Technology and Operations What task does the operations function in a manufacturing organisation and in a service organisation perform? How does operations strategy contribute to make to corporate...
Do the Following current market analysis - geographic , psychographic and behavioral of Klean Kanteen THIS IS THE DETAILS AND DRAFTS OF PAPER. (THIS IS THE BASIS) Open the link;...
Write a format string that handles the display of three data items in three columns. The first column should be 20 spaces wide, and it should print a left-aligned string. The second column should be...
Read the Forecasting Supply Chain Demand Starbucks Corporation case in your text Operations and Supply Chain Management on pages 484-485, then address the four questions associated with the...
Consider the problem above again. Suppose we tossed a coin T times and the resulting zt were all +1. The reward will be: (a) Show that the conditional expected reward as we just play one more time...
Suppose you are given the following data: Risk-free interest rate is 6% The stock price follows: dSt = St + StdWt Volatility is 12 % a year The stock pays no dividends anti the current stock price...
Suppose the stock discussed above pays dividends. Assume all parameters are the same. Consider these three forms of dividends paid by the firm. (a) The stock pays a continuous, known stream of...
1. Why might managers of small restaurants decide not to adopt the standard work hour approach to controlling labour cost? (minimum 150 words )
Which statement is true regarding the U.S. GAAP impairment test for limited life intangibles? A. U.S. GAAP impairment is likely to be greater than IFRS impairment. B. The impairment test for limited...
Which of the following is a limitation of both return on investment and residual income? A. Favors large units. B. There is disincentive for high return on investment units to invest. C. Can lead to...

Show that y = x2 + C is a solution of the differential equation dy/dx = x/y

Question:

Step by Step Answer:

Given y x2 C x 2 C 12 So y x 2 C is a solution of the d...View the full answer

College Mathematics for Business Economics Life Sciences and Social Sciences

Students also viewed these Finance questions