a. Obtain the general solution to the differential equation b. Given also that y = 1 at

Question:

a. Obtain the general solution to the differential equation

b. Given also that y = 1 at x = 1, show thatis a particular solution to the differential equation. The curve C has equation

c. Write down the gradient of C at the point (1,1).

d. Hence write down an equation of the tangent to C at the points (1,1), and find the coordinates of the point where it again meets the curve.

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

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 20, 2023 08:43 AM

See More Questions

You are reviewing the account balances on the balance sheet in QBO at the end of January 20x1. The balance on the balance sheet for the checking account seems low to you. You know that you have...
The probability that a product will perform its intended function for a specified length of time under normal conditions is called a. benchmarking. b. perceptual mapping. c. Maintainability. d....
During the soccer World Cup in 2010 attendance figures (in thousands of people) of people watching games at four of the World Cup venues were recorded for some of the games at each stadium, shown as...
e) Based on your investigation of the data set create two well-formatted tables that illustrate some important features of the data. Your tables should have informative labels and a readable number...
The following inventory transactions took place near December 31, 2011, the end of the Rasul Company's fiscal year-end: 1. On December 27, 2011, merchandise costing $2,000 was shipped to the Myers...
Cooley Company was started on January 1, 2011, and experienced the following events during its first year of operation. 1. Acquired $\$ 30,000$ cash from the issue of common stock. 2. Borrowed \(\$...
Describe what interactive marketing is and how it creates customer value, customer relationships, and customer experiences.
Davison Carecenters Inc. provides financing and capital to the health-care industry, with a particular focus on nursing homes for the elderly. The following selected transactions relate to bonds...
Beverly and Kyle currently insure their cars with separate companies, paying $550 and $555 a year. If they insured both cars with the same company, they would save 15 percent on the annual premiums....
a. Show that the general solution to the differential equation dy/dx = x/y can be written in the form x 2 + y 2 = c. b. On the same axes, sketch three different particular solutions to this...
a. Using the substitution u = 1 + 2x, or otherwise, find b. Given that y = /4 when x = 0, solve the differential equation 4x (1 + 2x) dx, x 1/
Suppose you wish to model the university schema as a graph. For each of the following relations, explain whether the relation would be modeled as a node or as an edge: (i) student (ii) instructor...
Pacifico Company, a U.S.-based importer of beer and wine, purchased 1,500 cases of Oktoberfest-style beer from a German supplier for 390,000 euros. Relevant U.S. dollar exchange rates for the euro...
Palmerstown Company established a subsidiary in a foreign country on January 1, Year 1, by investing 8,000,000 pounds when the exchange rate was $1.00/pound. Palmerstown negotiated a bank loan of...
Required information [The following information applies to the questions displayed below.] The following is financial information describing the six operating segments that make up Chucktown Sauce...
Question 1 (50 marks) Costa Ltd is a company with a 30 June year end. The following information relates to Costa Ltd and its subsidiary Jumbo for the year ended 30 June 20.22. Costa Ltd Jumbo Ltd Dr...
The following salaried employees of Mountain Stone Brewery in Fort Collins, Colorado, are paid semimonthly. Some employees have union dues or garnishments deducted from their pay. You do not need to...
1. What do you think of the effectiveness of Monica's leadership in sending an e-mail message to encourage environmental sustainability? 2. What other leadership technique might Monica use to help...
Catalytic hydrogenation of naphthalene over PdC results in rapid addition of 2 moles of H 2 . Propose a structure for this product.
Are there differences between the races with respect to their perceptions of their health (HEALTH: Would you say your own health, in general, is . . . 1. Excellent, 2. Good, 3. Fair, 4. Poor)? Use an...
Can we infer from the data that liberals, moderates, and conservatives (POLVIEWS3: 1 = Liberal, 2 = Moderate, 3 = Conservative) differ in their views about the federal income tax that they have to...
Is there enough statistical evidence to conclude that Democrats, Republicans, and Independents (PARTYID3: 1 = Democrat, 2 = Independent, 3 = Republican) differ in their views about the federal income...
Ted and his partners have contracted to purchase the franchise nights worth 561 000 to open and operate a specialty pizza restaurant called Popper with a renewable agrement, the partners have agreed...
Your answer is partially correct. Martin Company's chief financial officer feels that it is important to have data for the entire quarter especially since their financial forecasts indicate some...
Kellog Corporation is considering a capital budgeting project that would have a useful life of 4 years and would love testing 5156.000 in equipment that would have zeto salvage value at the end of...

a. Obtain the general solution to the differential equation b. Given also that y = 1 at

Question:

dy d.x = xy², y > 0

Step by Step Answer:

a 112x 0 b x 1 c 1 ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions