(1 point) Find a particular solution for each differential equation y" + 3y = 5t, then yp = y" - y = 3et sin(t), then yp = y" + 4y = cos(2t), then yp =
(1 point) Find a particular solution to y" + 6y' + 9y = –2e-31 yp = (-te^(-3t)/3+(1/9)-(e^-3t)/(9)-t^2e^-(3t))
(1 point) Find the solution of y" + 4y' = 256 sin(41) + 160 cos(4t) with y(0) = 4 and y'(0) = 4.
Problem 8 (14 points). Using the method of undetermined coefficients, find a particular solution Yp of the equation y" - Sy' +16y = 4x +2. Then find the general solution of this equation.
Yp = A2² is a particular solution of y'” + y = 1 for A-
a. Find a particular solution to the nonhomogeneous differential equation y" + 16y = cos(4x) + sin(4x). Yo = (xsin(4x))/8-(xcos(4x))/8 help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use ci and C2 in your answer to denote arbitrary constants. Enter c1 as c1 and C2 as c2. Un = c1cos(4x)+c2sin(4x) help (formulas) c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 3 and y'(0) = 2. y...
2. Use variation of parameters to find the general solution y and the particular solution yp. 6) y" + 2y' +y= .73
Assignment 7: Problem 7 Previous Problem List Next (1 point) Find a particular solution to y" +9y = –30 sin(3t). Assignment 7: Problem 8 Previous Problem List Next (1 point) Find the solution of y" – 6y' + 9y = 324 et with y(0) = 4 and y'(0) = 5. y= Assignment 7: Problem 9 Previous Problem List Next (1 point) Let y be the solution of the initial value problem y" + y = – sin(2x), y(0) = 0,...
Find a particular solution yp of the following equation. Primes denote the derivatives with respect to X. y (5) + 7y(4) - y = 15 The particular solution is yp(x) = 0
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()...