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
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 vertex form equation of a parabola with the vertex at (-2, 3) and a vertical stretch factor of 5? (
+
What is the mean, mode, median, range, and average of the following dataset: 10, 15, 20, 25, 30, 35?
+
Question: Find the value of a missing angle in a right triangle if the ratio of the length of the opposite side to the length of the hypotenuse is 0.5. (
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (−3,4). What is your slope?
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
A=m/2-t isolate t
10! - 8! =
the value of sin 178°58'
(2x+5)^3+(x-3)(x+3)
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
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25
DuocUC 2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function: (x+185) C(x)=81300-6x+ 20000 a) It is known that C(90) 5.344. Interpret this result. (2 points) b) Calculate C'(x) (2 points) 3 x²+111x-0.87 20000 2000 c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing. (3 points) d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost? (
Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.
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 hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
Consider the function f(x)=1/2(x+1)^2-3. Use the preceding/following interval method to estimate the instantaneous rate of change at 𝑥 = 1.
Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|
22. Let [AB] be a chord in a circle C, and k a circle which is internally tangent to the circle C at a point P and to the chord [AB] at a point Q. Show that the line P Q passes through the midpoint of the arc AB opposite to the arc APB.
simplify w+[6+(-5)]
In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.

You might be interested in