Question 3 1 pts Find a particular solution of the equation y3/4=-4x2 2x - 8of the...
Which of the following functions is the FORM of a particular solution of the differential equation D(D2 + 2)(D - 1)y = 3+ 4x + e* - 5e21 Select one: O A. yp(x) = Ax + Bx2 + Cell + Dxe21 O B. Yp(x) = A + Bx + Cxe+ Dxe20 O C. yp(x) = Ax2 + Bx3 + Cell + Dxe21 O D. Yp(x) = Ax2 + Bx3 + Cxe + De22 O E. yp(x) = Ax + Bx2...
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
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...
Question 11 Give the form of a particular solution of (4) – 16y-2 e 2x+3e" + cos2x) – 1 a) z-Axe* + Be **+Ccos(2x) + sin(2x) + E d) Axe 2+Be+Cx cos(2x) +Dx sin(2x) +B 3-Axe* +Be+3+ Cx cos(2x) +Dx sin(2x) + E 2=Axe 2+36-3x+cos(2x) + sin(2x) -Ae 2*+Be9*+ C'x cos(2x) + DX sin(2x) + E None of the above. e) f) Question 12 Give the form of a particular solution of J14) - 4 7 " +13 y" –...
find the particular solution and general solution of the equation
y''''+y'''=e^(2x)
[25] Find a particular solution and the general solution of the equation y(4) + y = 220
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...
a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x) b. Find the most general solution to the associated homogeneous differential equation. Use cand in your answer to denote arbitrary constants. c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 8 and y'(0) = 4
Given: y''+2y'=2x+5-e^-2x General solution is: y=c1e^-2x+c2 +1/2(x^2)+2x+1/2(xe^-2x) Solve using the method of undetermined coefficients and show all steps please! I have the form of yp is Ax^2+Bx+Cxe^-2x, and the issue that plagues me is in solving for A B C. I get A=1/2 and I get B=2, but the terms involving C fall off the face of the earth when I substitute y' and y'' of the solution form into the equation, so how can I solve for C? Help...
8. (4 pts) Find the equation of the line parallel to y = -2x + 1 that passes through the point (-4,6). 9. (4 pts) Find the equation of the line that passes through the points (-2,5) and (-1,8). OS 10. Multiply and/or divide as indicated. Give your answers in fully-factored form. 6x +30 (4 pts) 18 a b. (4 pts) 20x 18y 27y5 5x c. (3 pts) x2-36 x+7 x2-49 x+6 d. (3 pts) 3b+5 10b-5 6b2+7b-5 2b-1 4
Q4 please
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks]
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...