$MathMaster logo$

MathMaster

Home
general
use the substitution u x 2 y 2 to solve 2yy x 2 2x

Question

Use the substitution u=x^2+y^2 to solve 2yy’=x^2-2x

184

likes

919 views

Answer to a math question Use the substitution u=x^2+y^2 to solve 2yy’=x^2-2x

$Expert avatar$

4.7

109 Answers

u = x^2 + y^2

\frac{du}{dx} = 2x + 2yy'

2yy' = x^2 - 2x

\frac{du}{dx} = 2x + (x^2 - 2x)

\frac{du}{dx} = x^2

\int \frac{du}{dx} dx = \int x^2 dx

u = \frac{x^3}{3} + C

x^2 + y^2 = \frac{x^3}{3} + C

Frequently asked questions (FAQs)

What is the value of angle B in a triangle with side lengths A = 5, C = 7, and angle C = 40 degrees?

+

What is the period of the cosine function, given that its equation is y = 2 cos(3x) + 4?

+

What is the measure of an angle bisected by a line that divides the angle into two congruent smaller angles?

+

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

The time it takes for a person to travel 300 m is 15 minutes. What is their speed in meters per second?

QUESTION l. An investigation has been carried out in a region to know the perception of "citizen insecurity" of its inhabitants. 1,270 people in the region were interviewed, of which 27.1% responded that it was a "serious" problem. Knowing that this opinion was previously held by 25.3% of the population of that region, we want to know if said opinion has changed significantly for a confidence level of 97.2%. Taking this statement into account, the following is requested: a) Critical value of the contrast statistic. b) Solve the hypothesis test and indicate what conclusion we can reach. c) P-value of contrast.

STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.

P is a polynomial defined by P(x) = 4x^3 - 11×^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

If L (-2, -5) reflected across y = -4. What are the coordinates of L?

Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)

Two events E and F are ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.

A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)

A box contains 18 blue balls and 33 white balls. What is the ratio of the blue to white balls?

A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?

A buyer purchased a North Carolina home for $475,250. The seller allowed the buyer to assume his first small mortgage with a loan balance of $110,000. How much is the excise tax paid in the transaction? $951 $729.50 $950.50 $221 none of the above

The annual real property tax liability for a residential property is $4302 and has been paid by the seller in advance of closing. Using the 30-day month/260-day year method what will be the tax proration entry on the settlement statement round to the nearest dollar for a closing on Oct. 26 if the buyer owns the day of closing? a. $3525 credit to the buyer and $777 debit to the seller b. $777 debit to the buyer and $3525 debit to the seller c. $777 credit to the buyer and $777 debit to the seller d. $3525 debit to the buyer and $3525 credit to the seller *Can anyone help with this? I am studying for my real estate exam and am having trouble with some of the calculations :)

When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.

Below are three 95% CIs (where 𝜎 was known and 𝑥̅happened to be the same); one with sample size 30, one with samplesize 40, and one with sample size 50. Which is which?(66.2, 76.2)(61.2, 81.2)(56.2, 86.2)

How do you convert a fraction to a decimal

12[4 + (8 + 7) + 5]