Ecuaciones Diferenciales

JOSE ROBERTO GARCIA ALVAREZ

20121 Ecuaciones Diferenciales Edel 2AV1

WeBWorK assignment number Ecuaciones Diferenciales 1 is due : 08/29/2011 at 12:29pm EDT. The (* replace with url for thecourse home page *) for the course contains the syllabus, grading policy and other information. This file is /conf/snippets/setHeader.pg you can use it as a model for creating files which introduce eachproblem set. The primary purpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. Usually you can attempt a problem as manytimes as you want before the due date. However, if you are having trouble figuring out your error, you should consult the book, or ask a fellow student, one of the TA’s or your professor for help. Don’tspend a lot of time guessing – it’s not very efficient or effective. Give 4 or 5 significant digits for (floating point) numerical answers. For most problems when entering numerical answers, you can ifyou wish enter elementary expressions such as 2 ∧ 3 instead of 8, sin(3 ∗ pi/2)instead of -1, e ∧ (ln(2)) instead of 2, (2 + tan(3)) ∗ (4 − sin(5)) ∧ 6 − 7/8 instead of 27620.3413, etc. Here’s thelist of the functions which WeBWorK understands. You can use the Feedback button on each problem page to send e-mail to the professors. 4. (1 pt) Find the two values of k for which y(x) = ekx is asolution of the differential equation y − 22y + 112y = 0. smaller value = larger value = 5. (1 pt) Find a function y of x such that 2. (1 pt) Match each of the differential equation with its solution. 1. 2.3. 4. A. B. C. D. 2x2 y + 3xy = y y +y = 0 xy − y = x2 y + 7y + 10y = 0 y = 3x + x2 1 y = x2 y = sin(x) y = e−2x 7yy = x and y(7) = 3. y= . 6. (1 pt) Find the solution of the differential equation dyx = −16 2 dx y which satisfies the initial condition y(0) = 1. y= . 3e4x 7. (1 pt) Solve the differential equation 6y = (x + 9)6 x+9 where y = 6 when x = 0. y(x) = y+

1. (1 pt) The solution of a...