Q12 f only. please. Hence solve the /VP. 12 Use a similar approach to Questions 8...
use the Laplace transform to solve the given initial value problem: Questions 8 and 12 8. Y" – 2y' + 2y = cos t; y(0) = 1, y'(0) = 0 9. y" – 2y' + 2y = e-t; y(0) = 0, y'(0) = 1 »Answer Solution 10. y" + 2y' + y = 18e -*; y(0) = 7, y'(0) =- 2 11. y(4) – 4y" + 6y" – 4y' + y = 0; y(0) = 0, y'(0) = 1, y"(0)...
Please solve the all questions. Thanks Probleml: Suppose that F(x) = $ f (Ed dt, where ! Find "(2). Carral Problen 2: Let y = f Use the fundamental Theoren 10t+ sin(tl) at of Calculus to find. using the fundamentul Find the derivative of the function Theoren of Calculus. F(x) = f (2 2-2) de Find & flxd dx if ft) = { t for I for X21. r for x> 1. z
-VP use loplace transform to solve y"-ay't y = f(t), 9 (6)=1, 96)=1 f(t) o tas It- 5t25 you may use partial de comp but must show steps needed 1 sa + colo Ile s-l (5-02 52652-25 + 1) = söcs-ba
-VP use loplace transform to solve y"-ay't y = f(t), 9 (6)=1, 96)=1 f(t) o tas It- 5t25 you may use partial de comp but must show steps needed 1 sa + colo Ile s-l (5-02 52652-25 + 1) = söcs-ba
I would please like these questions answered with work shown on how to solve it Part 1 Directions: For 1-10, determine the derivative, dy, of each. You do nļot need to simplify! dx 1. y= 2x4 – x²+x-3 2. y=5* 3. y= 23x4+1 4. y = 2ln(x²+2x+1) 5. y= xe 6. y= r - 2x et +1 7. y= 2 cos x -sin x 8. y=(x + cos x) 9. y= cos(x²) x-1 10. y=2(sin(e)) 10.
5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part of the surface -8-) above the plane z5 oriented upward Because the surface is a function of x and y, express F in terms of x and y only. Find dA Set up the iterated integral for flux dr de Evaluate the integral Flux through S (b) S2 is the horizontal disk of radius V3 centered at (0, 0, 5)...
number 5 please 1-14 ODES. INTEGRATING FACTORS Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution. 1. 2xy dx + x2 dy = 0 2. xºdx + y°dy = 0 3. sin x cos y dx + cos x sin y dy = 0 4. €3°(dr + 3r de) = 0 5....
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 Laplace transform to solve the given initial value problem: Only problem 4,8 and 12 please 4. y" – 4y' + 4y = 0; y(0) = 1, y'(0) = 1 5. y" – 2y' + 4y = 0; y(0) = 2, y'(0) = 0 Σ Answer Solution = e 6. y" + 4y' + 297 - 2t sin 5t; y(0) = 5, 7. y" +12y = cos 2t, 22 # 4; y(0) = 1, : > Answer > Solution...
please use matlab 100 Let f(x) for questions 8, 9, 10 8. Make a function file for f(3) = I 100 I f.m function y = f(x) 9. Estimate f'(-5) by making a limit table with 5 rows. >> format long >> clearf . >> h = >> [h; (f(x+h) - f(x))./h]' ans = 0.100000000000000 -4.081632653061220 0.010000000000000 -4.008016032064176 0.001000000000000 -4.000800160032013 0.000100000000000 -4.000080001596017 0.000010000000000 10. Find R4, the Regular Right Sum with 4 rectangles, in order to approximate f(x) dx >>...