Question: a. Obtain the general solution to the differential equation b. Given also that y = 1 at x = 1, show that is a particular

a. Obtain the general solution to the differential equationdy d.x = xy, y > 0

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.

dy d.x = xy, y > 0

Step by Step Solution

★★★★★

3.53 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a 112x 0 b x 1 c 1 ... 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

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Q:

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...

Q:

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....

Q:

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...

Q:

Q 8 : Find the continuous solution of the initial value problem y ' - 2 y = g ( t ) , y ( 0 ) = - 1 2 , where g ( t ) = { 1 i f 0 t 1 e 2 t i f 1 t . Q 9 : Find the general solution of the...

Q:

9 Due March 30, 2016 1. Solve 1 @T @2 T @2 T D C 2; @t @x 2 @y with boundary and initial conditions as shown. 35 points T D0 yDb T D0 initially T D0 k @T h @x C T D T0 xDa yD0 T D0 Decompose as...

Q:

QUESTION 4 ( 4 . 1 ) Using the method of undetermined coefficients, find a general solution of the differential equation 2 y ' ' + 4 y ' = 4 x + 1 0 given that y 1 = 1 and y 2 = e - 2 x are solutions...

Q:

P is the population of rabbits in Humbolt Park in t years after the year 2 0 0 0 which obeys some complicated population model. The general solution to the differential equation is given by P = 5 0 0...

Q:

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Q:

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Q:

MATLAB ASSIGN 1- Follow Directions and Complete. Will Thumbs Up! Directions: Unless otherwise specified, your write-up should contain the MATLAB input commands, the corresponding output, and the...

Q:

Which method is back titration and should be done in acidic solution? Select one: O a. Fajan's method O b. Mohr's method O c. Volhard method

Q:

In a newspaper article of 3 May 2019 entitled AMP facing $100m super class-action suit (in The Australian, by Ben Butler, p.20) it was reported that the law firm Slater & Gordon had unveiled plans to...

Q:

In 2 0 2 3 , Maia ( who files as a head of household ) reported regular taxable income of $ 1 1 6 , 1 0 0 . She itemized her deductions, deducting $ 2 0 , 1 1 0 in charitable contributions and $ 3 ,...

Q:

6. Inclusion of more-than-desired number of dummy activities in a network can cause a delay in the completion of the project. Mark the statement as T (True) or F (False).

Q:

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...

Q:

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...

Q:

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...

Q:

Use linear interpolation to predict the temperature at 5p.m. Time (p.m.) 1 2 3 4 5 6 7 8 Temperat ure (C) 10 9 18 24 21 20 18

Q:

Prepare a physical unit flow reconciliation with the following information

Q:

B: Provide an example of who you believe is the ideal virtuous person. Describe their character and what virtues they possess that makes them ideal.