Question 5 Not yet answered Marked out of 1.00 P Flag question The Wronskian of two...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Question 5 Not yet answered Marked out of 1.00 P Flag question The Wronskian of two differential functions f and g is W(f,g)-fg-gf, more formally, W(f,g)(x) = det More generally, the Wronsikian of three functions f,g, and h is defined as W(f, g, h)(z) = det f'(1) g'(z) For example, W(sin(x),cos(x))= This shows that the Wronskian can be constant. Further, we can use properties of W(cos(x),sin(x))= W(2 sin(x)+2022 cos(x),cos(x))= and W(cos(x),3 sin(x)+5 cos(x))= The case of three functions is more interesting. We have W(sin(x),cos(x),x)= and W(cos(x), sin(x),x)= Similarly, W(2 sin(x)+2022 cos(x),cos(x),x)= and W(cos(x),3 sin(x)+5 cos(x),x)= In some cases, given the Wronsikian we determine values of parameters appearing in functions. For example, W(eAz, eBz, 1²) = 6e¹³ (1-13z +20x²) where A= and B- 3x -2 2 0 2x 3 -2x 5 -3x -3 determinants [f'(2) g(z)] = f(2)g'′(z) – g(2)ƒ(2). f(x) g(x) h(z) (1) Lf"(x) g"(z) h"(z)] to compute the Wronskian. For example, 1 8 X Question 5 Not yet answered Marked out of 1.00 P Flag question The Wronskian of two differential functions f and g is W(f,g)-fg-gf, more formally, W(f,g)(x) = det More generally, the Wronsikian of three functions f,g, and h is defined as W(f, g, h)(z) = det f'(1) g'(z) For example, W(sin(x),cos(x))= This shows that the Wronskian can be constant. Further, we can use properties of W(cos(x),sin(x))= W(2 sin(x)+2022 cos(x),cos(x))= and W(cos(x),3 sin(x)+5 cos(x))= The case of three functions is more interesting. We have W(sin(x),cos(x),x)= and W(cos(x), sin(x),x)= Similarly, W(2 sin(x)+2022 cos(x),cos(x),x)= and W(cos(x),3 sin(x)+5 cos(x),x)= In some cases, given the Wronsikian we determine values of parameters appearing in functions. For example, W(eAz, eBz, 1²) = 6e¹³ (1-13z +20x²) where A= and B- 3x -2 2 0 2x 3 -2x 5 -3x -3 determinants [f'(2) g(z)] = f(2)g'′(z) – g(2)ƒ(2). f(x) g(x) h(z) (1) Lf"(x) g"(z) h"(z)] to compute the Wronskian. For example, 1 8 X
Expert Answer:
Answer rating: 100% (QA)
Solution Given that WSinx Casx 1 Wcosx Sinix L W 2 Sin x 2022 as x Cosx pr... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Question 5 Not yet answered Marked out of 2:50 Flag question For the following cash flow at interest rate equal to 15%. The equivalent value at the start of the 8" year is equal to: 650 600 450 10 40...
-
Question 5 Not yet answered Marked out of 20.00 P Flag question A 381V, 50HZ, 6-pole, Y-connected, squirrel cage induction motor has a rated speed of 960RPM. The motor has the following parameters...
-
Functions f and g are defined on R by f (x) := x + 1 and g (x) := 2 if x 1 and g(1) := 0. lim g (f(x) g (lim f(x))
-
The reconciling item in a bank reconciliation that will result in an adjusting entry by the depositor is: (a) outstanding checks. (b) deposit in transit. (c) a bank error. (d) bank service charges.
-
Refer to Exercise. Calculate the variance for each part. Was your answer in Exercisecorrect? 16 a. 17 29 b. 22 1823 2017 C. 24 12 37 6 39 29
-
Which of the following lines of code are not permitted as the first line of a Java class file? (Choose two.) A. import widget. *; B. // Widget Manager C. int facilityNumber; D. package sprockets; E....
-
For the manufacture of di-tertiary-butyl peroxide in Example 9.7 synthesize an alternative process and show the flow rate and composition of each stream. Data From Example 9.7:- This example involves...
-
Explain what is different between firms in monopolistic competition and firms in oligopoly? What does this difference mean for prices and quantities and for economic profit.
-
2. Speedy, Inc. manufactures 2 products, wheels and seats. The company has estimated its overhead in the assembling department to be $330,000, and the overhead is allocated based on the total # of...
-
A researcher was studying red blood cells from a patient homozygous for the sickle cell mutation in the -globin gene (E6V). She found that increasing the concentration of one of the following...
-
Refer to the following cash flow statement: Cash at the beginning of $19 the year 865 Net cash received in $25 operating activities 691 Net cash used in $5 200 investing activities Net cash received...
-
Suppose you wished to analyze the impacts of an increase in the tax on gasoline in the U.S using a simple partial equilibrium model. According to the U.S. Department of Transportation, 159.2 million...
-
Required: Prepare the statement of profit or loss and other comprehensive income (by nature) and the statement of changes in equity for the year ended 31 October 2019 and statement of financial...
-
An 85.0kg man is trying to push over a wall. The man pushes on the wall with a force of 1200N for 12s but the wall does not move. How much work does he do on the wall?
-
A company raised money externally by selling bonds with 12 years to maturity. The bonds' coupon rate is 6.6 percent, and they make semiannual coupon payments. These bonds are currently selling for...
-
1. What is the duration of a 12-year, 7.7% semi-annual bond if the market rate on bonds of similar quality is 7.5%? 2. Now suppose that the YTM has changed to 7.53%%. Using Macaulay duration (which...
-
three films you have watched in the last year. In what ways have these films reflected current concerns, trends, or attitudes? Of these movies, which do you think have the most potential to shape...
-
According to a recent survey, 40% of millennials (those born in the 1980s or 1990s) view themselves more as spenders than savers. The survey also reveals that 75% of millennials view social...
-
Let u(t) solve Let v(r) = u(-t) be its time reversal. (a) Write down the linear system satisfied by v(t). Then classify the following statements as true or false. Explain your answers. (b) If is...
-
Plot the ellipses Ek = {Tk x | ||x|| = 1} for k = I, 2, 3, 4 for the following matrices T. Then determine their principal axes, semi-axes, and areas. Use Exercise 8.5.19. (a) (b) (c) 01 04 1-5 4-5
-
True or false: (a) Performing an elementary row operation of type #1 does not change the eigenvalues of a matrix. (b) Interchanging two rows of a matrix changes the sign of its eigenvalues. (c)...
-
Describe the various errors that can occur in the administration of medications.
-
Discuss why it is important to report significant changes in a patients condition to the treating physician.
-
If a nurse disagrees with a physicians written orders, discuss what action the nurse should take to protect the patients safety.
Study smarter with the SolutionInn App