Let u1 and u2 ED solutions .... (1) where p, q and r are continuous functions on
Fantastic news! We've Found the answer you've been seeking!
Question:
Let u1 and u2 ED solutions
.... (1)
where p, q and r are continuous functions on an interval I and also p(x) is never zero.
Show that if W = W(u1, u2), then
....(2)
Then demonstrate that by making use of ED and the fact that u1 and u2 are solutions,
you get that
......(3)
Finally, resolve the previous ED
Transcribed Image Text:
4. (10 puntos) Sean uz y uz soluciones de la ED p(x)u" + q(x)u' + r(x)u = 0 donde p, q yr son funciones continuas en un intervalo I y además p(x) nunca es cero. Demuestre que si W = W (u1, u2), entonces dW -= u,p(x)u% – uzp(x)u p(x) dx Luego demuestre que al hacer uso de la ED y el hecho de que u, y uz son soluciones, se obtiene que dw p(x) + q(x)W = 0 dx Por último, resuelva la ED anterior. 4. (10 puntos) Sean uz y uz soluciones de la ED p(x)u" + q(x)u' + r(x)u = 0 donde p, q yr son funciones continuas en un intervalo I y además p(x) nunca es cero. Demuestre que si W = W (u1, u2), entonces dW -= u,p(x)u% – uzp(x)u p(x) dx Luego demuestre que al hacer uso de la ED y el hecho de que u, y uz son soluciones, se obtiene que dw p(x) + q(x)W = 0 dx Por último, resuelva la ED anterior.
Expert Answer:
Answer rating: 100% (QA)
het U emd 42 be u qau U 0 where 9 omd are continuous fimctions on ... View the full answer
Posted Date:
Students also viewed these mathematics questions
-
and u2 be orthonormal tangent vectors at a point pE M. What geometric information Let be deduced from each of the following conditions on S at p? (a) S(u)-uz=0. (c) S(u,) x S(u2) = 0. (b) S(u)+S(u2)...
-
Show that if W1 W2 are finite dimensional subspaces of an inner product space, then W1 W2.
-
Show that if w = ((r - s, s - t, t - r) then , an, aras + + o
-
All of the following predispose an individual to a urinary tract infection except 1. Renal calculi 2. Benign prostatic hypertrophy 3. Wilm's Tumor 4. Indwelling catheter Renal calculi is most...
-
In your answer to question 7-1, explain how the three workgroup information systems create information silos. Describe the kinds of problems that those silos are likely to cause.
-
Riggs Corp. management is planning to spend $650,000 on a new marketing campaign. They believe that this action will result in additional cash flows of $325,000 over the next three years. If the...
-
Electrons are made to flow through the copper strip of Figure P27.57. The strip's cross section is \(1.00 \mathrm{~mm}\) high and \(30.5 \mathrm{~mm}\) wide, and the strip is placed in a...
-
Select the best answer. 1. Which of the following should not be included in the introductory section of a city's CAFR? a. Management's discussion and analysis b. Letter of transmittal c. Government...
-
19. Consider the given arrangement. The two slits S and S are illuminated by monochromatic light of wavelength A. Slits S3 and S4 are at separation d minimum intensity on the screen will be 2.D =...
-
The paralegal is assigned the task of preparing an office legal memorandum. The memorandum is due in 10 days, and there is a 5-page limit. The facts and law are as follows: Facts: Mary was Tom's...
-
What role did an HR Department play in your job search? And, if you could change how your job search was handled, what would your recommendations be to the HR Department to enhance that experience?...
-
Describe your experience where you have developed a good rapport with your peers and supervisors.
-
Executive methods, market research, and the Delphi method are examples of Quantitative method of forecasting Qualitative method of forecasting Benchmarking None of the above
-
The Zenibeth Factory, which manufactured Quasar television sets, was taken over by a Japanese company in the USA in the 1980s. After overtaking the company, it was decided to make changes in the way...
-
Planning does not render flexibility. True False
-
Which of these is being devised by the managers? Long-term plans Short-term plans Medium-term plans None of the above
-
What is the name of the routing algorithm type where each node forwards a copy of received information to all its outgoing links until reaching the destination?
-
Consider the combustion of methanol below. If 64 grams of methanol reacts with 160 grams of oxygen, what is the CHANGE in volume at STP. 2CH3OH(g) + 3O2(g) 2CO2(g) + 4H2O(1) The volume decreases by...
-
Which of the following is a cash outflow? (a) Proceeds from borrowing. (b) Repayments of debt principal. (c) Payment for taxes. (d) Both (b) and (c).
-
Which of the following is not a cash inflow? (a) Proceeds from borrowing. (b) Returns on interest-earning assets. (c) Payment of dividends. (d) Returns on equity securities.
-
How would the sale of a building be classified? (a) Operating outflow. (b) Operating inflow. (c) Investing inflow. (d) Financing inflow.
Study smarter with the SolutionInn App