2. (16) Find the general solution of y" - 24+y=e (a) Ve= (b) Wp = (c)...
4. (20) Find a second solution of zy" - 2y + y = 0 given that y = r is a solution. (a) Substitute y = (b) Compute the derivatives. Simplify your answers. Write your answers in the box (c) Substitute into DE. Show your work. Simplify your answer. Write your answer in the box. 4. (20) Find a second solution of zy" - 2y + y = 0 given that y = r is a solution. (a) Substitute y...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
Consider the differential equation: y' - 5y = -2x – 4. a. Find the general solution to the corresponding homogeneous equation. In your answer, use cı and ca to denote arbitrary constants. Enter ci as c1 and ca as c2. Yc = cle cle5x - + c2 b. Apply the method of undetermined coefficients to find a particular solution. yp er c. Solve the initial value problem corresponding to the initial conditions y(0) = 6 and y(0) = 7. Give...
1. Find the general solution to the equation y" - y - 2y = -e- 2. Find a particular solution to y" + 4y = 11 sin(2t) + cos(2t) 3. Find the form of a particular solution to be used in the Method of Undetermined Coefficients for the equation y" + 2y' +2y = te-* cost Do not solve the equation
Find the general solution of (2x +1)y" +4y' – 3xy = 0) using series about x = 0). Write your answers in sigma notation. Simplify coefficients (if possible) as shown in lecture.
Question 27 DE y"- 3y'- 4y = 0 has a general solution y = C1 e4x + C2e* Find the particular solution, if exists, with the initial conditions: y(O) = 0 and y(1) = 2. Yp 2e e5--1 (241 – e-") None of them 2e Ур 2e 5-1 etr + e 1- Both of them
Why c part is not yp= At^2cost +Bt^2sint WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6 +3163 19r2 +3 10 (+1)-2+5).) (b) Find the form of a particular solution of (In other words, find the form of onc solution of the equation. Do not compute the coefficients.) dr ) Find the form of a particular solution of (Do not compute the coefficients.) CoS tt WORK Question 1 (6+0+8+5-25 pts) a)Find the general solution of (Hint: 6...
Find the general solution of y'' + y'-6y=(9x-2)e^(2x). (Use the method of undetermined coefficients) Please show all work and steps! 2. Find a general solution of y" + y' - 6y = (9.C -- 2)e2.. (22 p'ts, use the method of undeter- mined coefficients.)
2. Use variation of parameters to find the general solution y and the particular solution yp. 6) y" + 2y' +y= .73
Use undetermined coefficients to find the particular solution to y"' + y' – 2y = e-534 – 9 – 542) yp (2) - Question Help: Video Submit Question le