Given that dy/dx = e x-y and y = ln 2 when x = 0, obtain an

Question:

Given that dy/dx = e^x-y and y = ln 2 when x = 0, obtain an expression for y in terms of x.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Apr 05, 2023 11:07 AM

See More Questions

The Tolman-Stewart experiment in 1916 demonstrated that the free charges in a metal have negative charge and provided a quantitative measurement of their charge-w-mass ratio, |q|/m. The experiment...
A long, straight, solid cy1inder, oriented with its axis in the z-direction, carries a current whose current density is J. The current density, although symmetrical about the cylinder axis, is not...
The faces x = 0 and x = c of a slab 0 0. (a) After writing the boundary value problem for the temperatures, make the substitution s = Tx/c to show that u, = (km?/c?)u ,,, u = 0 when s 0 and s = T,...
Calculate the dollar proceeds from the FIs loan portfolio at the end of the year, the return on the FIs loan portfolio, and the net interest margin for the FI if the spot foreign exchange rate has...
Choose one of the quality-assurance methodologies described in this chapter and explain how it might apply to your educational institution.
What is the expected value of the company in one year, with and without expansion? Would the companys stockholders be better off with or without expansion? Why? Sam McKenzie is the founder and CEO of...
9.3 6
Prepare the statement of retained earnings for Damon Design Studio for the year ending December 31, 2018. The assets, liabilities, and equities of Damon Design Studio have the following balances at...
1. Net income 2. Total current assets 3. Book value of the PPE 4. Total assets 5. From the box below, Identify ALL the Permanent accounts
The cost of designing an aircraft, $A per kilogram, at time t years after 1950 can be modelled as a continuous variable. The rate increase of A is directly proportional to A. a. Write down a...
Find the equation of the curve that the equation. and passes through the point (0, 1). Give your answer in the form y = f(x). dy 1 + y dx 4+x =
A firm has expected free cash flows to the firm of $12 million annually which are expected to grow at 3.5% each year. It uses both debt and equity. The cost of equity is 13% and the after-tax cost of...
The composition of moist air is given on a molar basis to be 78 percent N2, 20 percent O2, and 2 percent water vapor. Determine the mass fractions of the constituents of air. Use the table containing...
1. Consider the LFSR with so = 1, 8 = 1, S2 = 1, 83 = 1, 84 = 0, and Sn Sn-2 Sn-3+ Sn-5. Find the next 15 terms in this LFSR. What is the period of this LFSR? 2. Suppose you learn that a Hill cipher...
Assume that you are thinking of a new acquisition campaign for SEDO, assuming that you want to convert people who are already engaged. Develop a big idea (in the communication) that you can use in...
You have a backend Amazon EC2 instance providing a web service to your web server instances. Your web servers are in a public subnet. You would like to block inbound requests from the internet to...
Consider the following task set. Task C T|D T1 20 50 40 T2 10 40 30 T3 5 20 15 a) Verify whether the task set is schedulable under DM using the processor utilization-based ap- proach. b) Verify...
In problem the indicated function y 1 (x) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to find a second solution y 2 (x). x 2 y'' + 2xy' 6y...
A handrail, which weighs 120 N and is 1.8 m long. was mounted to a wall adjacent to a small set of steps (Figure P4.26). The support at A has broken, and the rail has fallen about the loose bolt at 8...
Given that y = 2x 3 3x 2 36x + 5, find the range of values of x for which dy/dx < 0.
The normal to the curve y = 2x 2 + kx 3 at the point (3, 6) is parallel to the line x + 5y = 10. a. Find the value of k. b. Find the coordinates of the point where the normal meets the curve again.
Given that the gradient of the curve y = x 3 + ax 2 + bx + 3 is zero when x = 1 and when x = 6, find the value of a and the value of b.
How to solve them..equation and explain ..please.. 1. Selected information from the companys financial records is presented below Equipment, December 31, 2013 $300,000 Equipment, December 31, 2014...
During 2024, its first year of operations, Hollis Industries recorded sales of $11,900,000 and experienced returns of $760,000. Cost of goods sold totaled $7,140,000 (60% of sales). The company...
What is the value of a 15% coupon bond with 11% return? Is it a discount or a premium bond?

Given that dy/dx = e x-y and y = ln 2 when x = 0, obtain an

Question:

Step by Step Answer:

We start by rearranging the given differential equation ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions