Problem 7.4: Use Eigen method and substitution method to find GS of X'(e) = ({ --...
Problem 8.1: Use any method to find GS of )x(t)+c) 1 -1
Problem 8.1: Use any method to find GS of )x(t)+c) 1 -1
Just solve it without plotting Solve the eigen value problem problem x2y" + xy' + ly = 0 On boundary conditions y(1) = 0 and y(5) = 0. a) Find the eigen values and eigen functions b) Using the eigen functions, expand the following function -1, 1<x<3 f(x) = { 1, 3<x< 5 into a series of Eigenfunctions and plot the result using n = 5, 10, 25, 100 terms to examine the convergence of series.
please show work, thank you!
Problem 5.1: Find the GS for y'"' + y" + y' + y = 1 + e* + e-* + e2x + e-2x Problem 5.2: Find the GS for y(4) – y(3) – y(2) – y(1) – 2y = 1 + x + x2 + x3
Problem 8.3: Use LT and another method to find the PS of (x" + α2 x = cos(Bt) x(0) = x'(0) = 0 es aod o tneo Problem 8.4: Use LT method to find PS of -2 3 -4)X(t) x'(t) = (l x(o)
Use the substitution t = −x to solve the given initial-value
problem on the interval (−∞, 0).
,
y(−1) = 6, y'(−1) = 3
(1 II. Find eigen values and eigen vectors of A=0 LO 6. 0 2 -3 01 3 2)
Use the method of undetermined coefficients to find the solution to the initial value problem of the followir z''(x) + z(x) = 4 e -*; z(0) = 0, z'(0) = 0 The solution is z(x) =
(1 point) Use the substitution method to solve the system -x + y = 0, 4x – 3y = -3. Your answer is
Problem 1. Solve the following simultaneous congruence using the
Chinese Remainder or the substitution method. a: 2 (mod 5) a: 0
(mod 7) a: = 1
Problem 1. Solve the following simultaneous congruence using the Chinese Remainder or the substitution method. x = 2 (mod 5) x = 0 (mod 7) El mod 17)
Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of integration.) dx There 276 sec’e - 6/6 sec(0) + C * 6 + x²