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Math45-Homework- 08: Problem 6 Previous Problem Problem List Next Problem (1 point) The function yi (x)...
Are the functions fi (x) = ex+4 and fz(x-er-5 linearly dependent or independent? A. Linearty dependent OB. Linearly independent Which of the following best describes the correct choice for part (a)? (Carefull) 0 A. Since the only solution to cfı + c/2 = 0 is ci = c2-0. B. Since the Wronskian equals zero for at least one x on (-o, o). C. Since the Wronskian never equals zero on (-oo, oo). D. Since the functions are scalar multiples of...
6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which has a regular singular point at x = O. The indicial equation for x = 0 is rt with roots (in increasing order) ri- Find the indicated terms of the following series solutions of the differential equation: (a) y = x,16+ and rE x+ The closed form of solution (a) is y
6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which...
Homework Two: Problem 17 Previous Problem Problem List Next Problem fy (1 point) The general solution to the second-order differential equation dt2 y(x) = e" (c, cos Bx + ca sin ßx). Find the values of a and B. where ß > 0. - 2x+8y = 0 is in the form Answer: a = and p = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have...
HW3.2: Problem 1 Previous Problem Problem List Next Problem (1 point) Given a second order linear homogeneous differential equation a2(x)y" + ai (x)y' + ao (x)y0 we know that a fundamental set for this ODE consists of a pair linearly independent solutions yi, y2. But there are times when only one function, call it y, is available and we would like to find a second linearly independent solution. We can find 2 using the method of reduction of order. First,...
Problem 11 Previous Problem Problem List Next Problem (1 point) Consider the differential equation 2x(x – 1)y" + 3(x - 1)y' - y = 0 which has a regular singular point at x = 0. The indicial equation for x = 0 is p2 + r+ = 0 with roots (in increasing order) rı = and r2 = Find the indicated terms of the following series solutions of the differential equation: (a) y = x" (3+ x+ x2+ x +...
Homework 16: Problem 3 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem y" + 16y = 64t, y(0) = 9, y'(0) = 6. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). help (formulas) b. Solve...
Assignment 7: Problem 7 Previous Problem List Next (1 point) Find a particular solution to y" +9y = –30 sin(3t). Assignment 7: Problem 8 Previous Problem List Next (1 point) Find the solution of y" – 6y' + 9y = 324 et with y(0) = 4 and y'(0) = 5. y= Assignment 7: Problem 9 Previous Problem List Next (1 point) Let y be the solution of the initial value problem y" + y = – sin(2x), y(0) = 0,...
Previous Problem Problem List Next Problem f(x, y) (1 point) Consider the function f(x, y) = (e* - 5x) sin(y). Suppose S is the surface z (a) Find a vector which is perpendicular to the level curve of f through the point (5,4) in the direction in which f decreases most rapidly. vector -(eA5-5)sin(4)i+-(e^5-5(5)cos(4)j (b) Suppose above (5,4). What is a? 2i 8jak is a vector in 3-space which is tangent to the surface S at the point P lying...
HW05 11.4-11.6: Problem 3 Previous Problem Problem List Next Problem (1 point) Find the differential of the function z = e sin(x). dz= HW05 11.4-11.6: Problem 4 Previous Problem Problem List Next Problem x2 + y2 + 36 at the point (2,3). (1 point) Find the differential of f(x,y) = df = Then use the differential to estimate f(2.1, 3.1). f(2.1, 3.1)
Previous Problem Problem List Next Problem (1 point) Find the solution to the initial-value problem dy = 2y+zez?, y(0) = 10 y = help (formulas) Preview My Answers Submit Answers Show me another