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)
Question: Calculate the square root of 25 and add it to the square root of 9, then multiply the sum by the square root of 16. What is the final result?
+
Question: What is the maximum possible value of the function f(x) = 3x^2 - 4x + 1 on the interval [-1, 2]? (
+
What is the derivative of f(x) = 3x² + 4x - 2?
+
New questions in Mathematics
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.
3(4x-1)-2(x+3)=7(x-1)+2
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
what is the annual rate on ​$525 at 0.046​% per day for 3 months?
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)
(-5/6)-(-5/4)
There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1−(1/2)*cos(πt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolio’s risk level so that once the additional funds are invested the portfolio’s required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolio’s beta) to achieve the desired required rate of return?
Calculate the difference between 407 and 27
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
In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?
effectiveness of fiscal and monetary policy under closed and open economies
When taking a test with m closed answers, a student knows the correct answer with probability p, otherwise he chooses one of the possible answers at random. What is the probability that the student knows the correct answer given that he answered the question correctly.
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.
f(x)= 9-x^2 find (f(x+h)-f(x) )/h

You might be interested in