Find the real functions and eigenvalues of the problem
We ask for a complete solution where each step is justified
Find the real functions and eigenvalues of the problem We ask for a complete solution where...
We consider an even and periodic function of period p = 6 defined by: Calculate f (17.75). Justify your answer. f(x) = 2 + e-*, pour 0 < x < 3.
(1 point) Determine the values of (eigenvalues) for which the boundary-value problem g” + y = 0, 0 < x < 4 y(0) = 0, y' (4) = 0 has a non-trivial solution. An = a , n=1,2,3,... Your formula should give the eigenvalues in increasing order. The eigenfunctions to the eigenvalue in are Yn = Cn* sin(n*pi/2*x) where On is an arbitrary constant.
QUESTION 11 Find the solution of x' + 2x' +x=f(t), x(0)=1, x'(o=0, where f(t) = 1 if t< 2; and f(t) = 0 if t> 2.
Find the solution to the problem with the following initial value: We ask for an explicit solution. Justify each step of your solution. Indication: where A and B are constants. с22 dy 1 — 0, х > 0, у(0) — 1. у(1 + 2) х dx В и = A + 1 u 1u
Find: 1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
Question 27 Graph the solution set of the system. y2r? y<x+3 o 5+ 4 1 1 4 5 T2 1+ A++ -54 2 1 2 3 15 -1 -2+ =3 HE+ - + O S 4 3 2+ 1+ -54 + 5 Re 2 2 4 * ů o . 3 s 3 2 3 4 ET? T None of these
Find all real solutions of the equation (2 – 6)? = 4. 21 = and 12 with i < 22
Find the solution of the given initial value problem: y" + y = f(t); y(0) = 6, y'(0) = 3 where f(t) = 1, 0<t<3 0, įst<<
Let be a function defined by: We define by extension the odd, periodic function of period p = 2 which coincides with the function f (x) on the interval [0, 1]. Draw over the interval [−1, 3] the graph of the function towards which the Fourier series of the odd continuation of the function f (x) converges. f(x) = 1 + x2 pour 0 < x < 1.
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues of B. Hence prove that the modulus of the eigenvalues is equal to one. (ii) Calculate the eigenvectors of B.