Ch3.2- Existence Uniqueness Wronskian: Problem 3 Previous Problem Problem List Next Problem (1 point) Use the...
Section 3.2 The Wronskian: Problem 5 Previous Problem Problem List Next Problem (1 point) Determine the largest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. Do not attempt to find the solution. d2x sin(t)atx + cos(r)ar + sin(,)x = tan(t), dx x(0.5)-8, x,(0.5)-10 Interval Section 3.2 The Wronskian: Problem 5 Previous Problem Problem List Next Problem (1 point) Determine the largest interval in which the given initial value problem is certain to...
Previous Problem Problem List Next Problem (1 point) Consider the linear system -3 -2 >= -3) y. 5 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. di = on = and 12 = · U2 b. Find the real-valued solution to the initial value problem { vi = -3yı – 2y2, 5yı + 3y2, yı(0) = 11, y2(0) = -15. y۔ = Use t as the independent variable in your answers. yı(t) = y2(t) =
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,...
10.Linear Independence: Problem 2 Previous Problem Problem List Next Problem 01-4 -411 (1 point) Are the vectors لیلا بل linearly independent? tunno 5 | 5 1-3]| o 1-4) Choose If they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true.
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) Note WeBWork will interpret acos(z) as cos (z), so in order to write a times cos(z) you need to type a cos(z) or put a space between them. The general solution of the homogeneous differential equation can be written as e-acos(x)+bsin(z) where a, b are arbitrary constants and 1r is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation y" + ly-2ez is บ-Uc + so...
1. Compute the Wronskian of the functions 3e3t and -2e2t and use it to determine whether or not they are linearly independent. Explain how you use the Wronksian to determine this.
Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial value problem has a unique solution. 2 dy Select the correct choice below and fill in the answer box(es) to complete your choice. The theorem implies the existence of a unique solution because a rectangle containing the point Type an ordered pair.) The theorem does not imply the existence of a unique solution becauseis not continuous in any rectangle containing the point Type an ordered pair.)...
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,...
Homework 7: Problem 6 Previous Problem Problem List Next Problem (1 point) . 9n3 – n-8 Use the root test to determine whether the series) (5n2 +n + 4) the series ***+9) "converses or diverse converges or diverges. Since lim , which is the series n>00 choose by the root test. choose choose less than 1 equal to 1 greater than 1 Note: You can earn partial credit on this problem. Homework 7: Problem 6 Previous Problem Problem List Next...