MathMaster logo

MathMaster

  1. Home
  2. general
  3. 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
Rasheed
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)
What is the equation for the standard form of a hyperbola with a center at the origin, a horizontal transverse axis, vertices at (3,0) and (-3,0), and foci at (5,0) and (-5,0)?
+
Math Question: What is the limit as x approaches 0 of (sin(x))/(x)?
+
What is the value of f(2) for the logarithmic function f(x) = log x / f(x) = ln x?
+
New questions in Mathematics
If f(x) = 3x 2, what is the value of x so that f(x) = 11?
2/3+5/6×1/2
You mix a powder drug with a 4.5ml of liquid to get a reconstituted solution with a concentration of 250mg/ml. The prescribers order is for 500 mg . You will give what ml of the reconstituted solution
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
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
Use linear approximation to estimate the value of the sine of 31o.
Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
When Sara was 15 years old, an uncle left her as inheritanceà a sum of 10,000 euros which he invested in a bank that applies the interest rate of 2,5% annual. Today Sara is 18 years and wants to buy a'car, how much she can ò withdraw from the bank?
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
Your grandfather has run a small high street pharmacy for 40 years. After much persuasion, he has agreed to open a digital store online. List 5 potential ways to improve sales and/or margins by having a digital pharmacy through the utilisation of historic or new sales data.
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
write in set builder notation { 1,3,9,27,81,243,...}
Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 includes wide. How much ribbon does Mark need?
Write an equation of the affine function whose graph is perpendicular to the graph of f(x) = 5x − 1 and passes through the point (5, 20).

You might be interested in