$MathMaster logo$

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

110 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)

Question: What is the hypotenuse length of a right triangle with legs measuring 5 cm and 12 cm?

+

Question: Solve for x in the equation log(x+3) - log(x-1) = log(4)

+

What is the speed in meters per second if a car travels 500 meters in 25 seconds?

+

New questions in Mathematics

I want to divide R$ 2200.00 between Antônio, Beto and Cássia, so that Beto receives half from Antônio and Cássia receives a third of Beto. Under these conditions, how much more will Beto receive than Cássia?

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

Karina has a plot of 5000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used to grow lettuce?

Kayla has $8,836.00 in her savings account. The bank gives Kayla 5%of the amount of money in account as a customer bonus. What amount of money does the bank give Kayla? Justify your answer on a 6th grade level.

Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4×² + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?

30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m

Suppose 56% of politicians are lawyers if a random sample of size 873 is selected, what is the probability that the proportion of politicians who are lawyers will be less than 55% round your answer to four decimal places

Desarrolla (2x)(3y + 2x)5

A person decides to invest money in fixed income securities to redeem it at the end of 3 years. In this way, you make monthly deposits of R$300.00 in the 1st year, R$400.00 in the 2nd year and R$500.00 in the 3rd year. Calculate the amount, knowing that compound interest is 0.6% per month for the entire period. The answer is 15,828.60

Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.

A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 60% of the people get vaccinated. If a person is selected at random from this region, find the probability that he or she will contract the disease. (4 Points)

Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?

A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.

48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?

Given two lines 𝐿1: 𝑥 + 4𝑦 = −10 and 𝐿2: 2𝑥 − 𝑦 = 7. i. Find the intersection point of 𝐿1 and 𝐿2.

If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable. 12, 18, 21, c, 13

What js the greatest 4-digit even number that can be formed by 3,6,1,4?

An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?