#16 Please.
Step By Step explanation would help me understand. Thank you.
#16 Please. Step By Step explanation would help me understand. Thank you. In Exercises 1-17 find...
Please help with these two, thanks! In Exercises 1–17 find the general solution, given that y1 satisfies the complementary equation. As a byproduct, find a fundamental set of solutions of the complementary equation. 3. x2y'' − xy' + y = x; y1 = x 7. y''− 2y' + 2y = e^x*sec x; y1 = e^x cos x
2a,2b, and 2c 1. Assuming x > 0, find the general solution of the following Euler equa- tions. f) 5x2y" +12xy' +2y = 0 g) 2y"xy 0 h) a2y" - 2xy =0 i) a2y"-ay-n(n + 2)y 0, where n is a positive integer a) x2y"-3ay 4y 0 b) x2y"-5ay +10y 0 c) 6x2y" +7xy - y 0 d) xy"y0 e) x2y"-3ay' +13y 0 2. Find the solution of the following problems. Before doing these prob- lems, you might want to...
Solve 5 please 5.7 Exercises In Exercises 1-6 use variation of parameters to find a particular solution. 1. y" +9y = tan 3x 2. y' + 4y = sin 2x sec2 2x 3. y" – 3y' + 2y = 4 4. j" – 2y + 2y = 3e* sec x 1+e-x 4e-x 5. y" – 2y' + y = 14x3/2e* 6. y" - y = 1-e-2x
Question 17 (2 points) Let A be a 3 x 4 matrix with a column space of dimension 2. What is the dimension of the row space of A? Not enough information has been given. O 1/2 3 2. Question 16 (2 points) The rank of the matrix 1 2 - 1 2 4 2 1 2 3 is 02 O none of the given options Question 15 (2 points) Which of the following is not a vector space because...
5 please and 17 only 3.2 Problems Find general solutions in powers of x of the diferential equa- tions in Problems 1 through 15. State the recurrence relation and the guaranteed radius of convergence in each case. 1, (x2-1 )y', + 4xy' + 2y = 0 2. (x2 + 2)y', + 4xy' + 2y = 0 3. y+xy y 0 4. (x2 + 1)y', + 6xy' + 4y = 0 5. (x2 3)y' +2xy 0 Use power series to solve...
Q-1) Choose the right answers for the following questions: n+1 a-) + b-) + + + + + + INWIN + + ww + + WIN WIN + ... + + ... 2) n sin(nx) = a-) 0 + 2 sin(2x) + 4sin(4x) + ... b-) 2sin(x) + 3sin(2x) + 4sin(3x) + .. C-) sin(x) + 2sin(2x) + 3sin(3x) + ... d-) sin(x) + 3sin(2x) + 5sin(3x) + ... 3) For y = x² + xy + y2 + 3x...
*Matlab code, please! only 1d (a) 1. Apply the Euler’s Method with step size h = 1/4 to the initial value problem on [0, 1]. y1 = yi + y2 yí = -yi – 12 ya = - y1 + y2 on J y2 = yi – Y2 yı(0) = 1 yı(0) = 1 y2 (0) = 0 | Y2(0) = 0 y =-12 yí = yi + 3y2 ya = 2yı + 2y2 (d) yı(0) = 1 yi(0) =...
ECON 1111A/B Mathematical Methods in Economics II 2nd term, 2018-2019 Assignment 6 Show your steps clearly Define the definiteness of the following A-[1 5 a. b. 1 4 6 d. D= -2 3 1 -2 1 2 E 2 -3 1 2. Is the function f(x,y) - 7x2 + 4xy + y2 positive definite, negative definite, positive semidefinite or negative semidefinite? Find the extreme values for the following functions and identify whether they are local maximum, local minimum, and saddle...
Please answer with all the steps, thank you! Question 1. (16 points] Solve each of the following IVPs: (a) y" + 4y' + 4y = -32 cos(4x) + 3e-27, y(0) = -75, Y'(0) = - 128 (b) y'" – 4y" + y' + 6y = 10 sin x + 12e32, y(0) = 0, y'(0) = 1, y" (0) = 2 (c) y" – 24" = 16e2x – 36x + 14, y(0) = 6, y'(0) = 0, y" (0) = 2...
Use the reduction of order method to solve the following problem given one of the solution y1. (a) (x^2 - 1)y'' -2xy' +2y = 0 ,y1=x (b) (2x+1)y''-4(x+1)y'+4y=0 ,y1=e^2x (c) (x^2-2x+2)y'' - x^2 y'+x^2 y =0, y1=x (d) Prove that if 1+p+q=0 than y=e^x is a solution of y''+p(x)y'+q(x)y=0, use this fact to solve (x-1)y'' - xy' +y =0