$MathMaster logo$

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 foci distance of a hyperbola where the center is at (5, 3), the transverse axis is 8 units long, and the conjugate axis is 6 units long?

+

What is the value of sin(60°)+cos(45°)?

+

What is the result of factoring and applying the distributive property to 3x^2 - 6x + 9?

+

New questions in Mathematics

Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)

"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.

A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36

Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%

Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane

Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3

The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.

Quadratic equation 2X = 15/X + 7

A function is considered exponential when it has a base with positive values greater than zero and different from one, where the exponent is an unknown. An important characteristic of exponential functions is that they show rapid growth or decay as an independent variable increases or decreases. Given the function 25^(x+3)=125, it is calculated that x has the value of

Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24

Solve for B write your answer as a fraction or as a whole number. B-1/7=4

Arturo had hospitalization expenses of $8,300. Your policy for medical expenses Seniors have a deductible of $500 and expenses are paid at a 20% coinsurance. These are the first expenses ever this year, how much will Arturo have to pay in your bill for hospitalization expenses?

9n + 7(-8 + 4k) use k=2 and n=3

How many digits are there in Hindu-Arabic form of numeral 26 × 1011

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