$MathMaster logo$

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 f(x) = 10^x / f(x) = e^x when x = 3? (

+

Question: Simplify the expression 3(x + 5) - 2(4 - 3x).

+

What are the characteristics of a hyperbola function with a vertical transverse axis? Provide a brief explanation and list the key features.

+

New questions in Mathematics

Use the elimination to find the solution to each linear system. X+y=43 2x-y=20

Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places

Let f(x) = x² − 1. Find the equation of the tangent line to the graph of f at the point x0 = 2.

A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.

Reparameterize the curve r(t)= cos(t)i without (t)j (t)k by the arc length.

4x/2+5x-3/6=7/8-1/4-x

Solve : 15/16 divide 12/8 =x/y

The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in £s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?

Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block. A. What is the acceleration of the blocks? B. What is the force of the 4.3-kg block on the 5.4 -kg block? C. What is the force of the 5.4 -kg block on the 4.3 -kg block?

Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?

7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours

A person runs 175 yards per minute write a variable that represents the relationship between time and distance

Let N be the total number of ways to choose at least one ride, out of a total of 7 different ones, existing in an amusement park. Can it be said that N is a natural number equal to?

a) 6x − 5 > x + 20

simplify w+[6+(-5)]

How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7

calculate the product of 4 and 1/8

The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.