$MathMaster logo$

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)

Question: What is the variance of the data set {3, 5, 7, 9}?

+

Math Question: Graph the inequality y ≤ 2x - 3 on a two-variable coordinate plane. What is the solution region?

+

Question: What is the value of 10 to the power of 3, multiplied by the square root of 16, plus the cube root of 125?

+

New questions in Mathematics

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

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

Derivative of x squared

A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?

Divide 22 by 5 solve it by array and an area model

The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one

Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.

Use linear approximation to estimate the value of the sine of 31o.

TEST 123123+123123

A natural gas company has a fixed rate of 1,320 pesos plus 1,590 pesos per cubic meter of gas consumed monthly per customer. Indicate the cost function to determine the value in pesos of the cubic meters of gas consumed in a month per customer. How much did a customer who consumed 18 cubic meters of gas pay? If a customer paid 34,710 pesos, how many cubic meters of gas did he consume?

(6²-14)÷11•(-3)

A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"

The inner radius of a spherical ball is 13 cm. How many liters of air are in it? Justify your answer!

Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!

Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2