A first order differential equation is given as (3x + 4)dy/dx 3y = x. Determine the

Question:

A first order differential equation is given as (3x + 4)dy/dx – 3y = x. Determine the general solution of this differential equation.

Given that y = 13/9 when x = - 1, find the value of the constant of integration.

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 Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

See More Books

Question Posted: Oct 15, 2021 01:00 AM

See More Questions

Determine the general solution of the differential equation dy/dx = x4 - 2y/2x Show that the solution is correct. (Derive the first derivative of the solution, and then substitute back into the...
Construct an autonomous first order differential equation dy/dx = f (y) whose phase portrait is consistent with the given figure. y 3
In the following exercises, determine the general solution of the systems of homogeneous differential equations. Solutions: 10 -5 a) X' = 8 -12
Factor by grouping. x 2 + 3x - 3y - xy
Now suppose the parameters of the model take the following values: 0 = 100, = 0.06, = 1/3,000, and = 1,000. (a) What is the growth rate of output per person in this economy? (b) What is the...
The BOM for product A is shown in Figure and data from the inventory records are shown in table in the master production schedule for product A the MPS start row has 500 units in week 6. Develop the...
Some college professors make bound lecture notes available to their classes in an effort to improve teachinp effectiveness. Marketing Educational Review (Fall 1994) published a study of business...
Refer to the Auditing in Practice feature What Was He Thinking? An Example of Poor Professional Judgment and Low Audit Quality. a. Briefly explain the common themes indicating poor professional...
Exercise 5 - 2 1 ( Algo ) Price of a bond [ LO 5 - 9 , 5 - 1 0 ] On September 3 0 , 2 0 2 4 , the Techno Corporation issued 8 % stated rate bonds with a face amount of $ 2 2 0 million. The bonds...
An infinite cylinder of radius R carries a uniform surface charge density o. We propose to set it spinning about its axis, at a final angular velocity ws. How much work will this take, per unit...
Using the substitution u = e -y , solve the differential equation dy/dx = -(1 e -y ).
Solve the differential equation dy/dx + 2y = x 3 e -2x to find the general solution.
How is a price-consumption curve related to a demand curve?
Concord Timber Company owns 9,000 acres of timberland purchased in 2014 at a cost of $1.470 per acre. At the time of purchase. the land without the timber was valued at $420 per acre. In 2015,...
Foofy computes z-scores for a set of normally distributed exam scores. She obtains a z-score of -3.96 for 8 out of 20 of the students. What do you conclude?
Part 1 Recording Using the financial statements for the hypothetical company - Big Box Retailer-record the transactions for the year to the financial statement. The financial statements may be found...
Finding Standard Deviation from a Frequency Distribution. In Exercises 37-40, refer to the frequency distribution in the given exercise and compute the standard deviation by using the formula below,...
STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the...
A columnist on forbes.com noted that many poor people have diets that are high in carbohydrates, such as potatoes, rice, or bread, with relatively little protein from meat or fish. He said that as a...
The Zwatch Company manufactures trendy, high-quality moderately priced watches. As Zwatch's senior financial analyst, you are asked to recommend a method of inventory costing. The CFO will use your...
Starting with benzene and isopropyl chloride, show how you would prepare the following compound: N- -NH2 O,N-
Draw the product obtained when the diazonium salt formed from aniline is treated with each of the following compounds: (a) Aniline (b) Phenol (c) Anisole (methoxybenzene)
Pyridine undergoes electrophilic aromatic substitution at the C3 position. Justify this regiochemical outcome by drawing resonance structures of the intermediate produced from attack at C2, at C3,...
the internal operation rulea of cooperation are known As ?
"When it comes to audit sampling, both statistical and non-statistical sampling are equally effective." Defend or refute the preceding statement. (1 Mark).
ACC 2 0 2 Milestone One: Operational Costs Data Appendix You plan to open a small business for manufacturing pet collars, leashes, and harnesses. You have found a workshop space you can use for...

A first order differential equation is given as (3x + 4)dy/dx 3y = x. Determine the

Question:

Step by Step Answer:

Given diffential equation can be written as y3y3x4x3x4 which is of the form yPx...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

Students also viewed these Sciences questions