(1 point) Find a particular solution to y' + 16y = 40 sin(4t). yp =
2. Use variation of parameters to find the general solution y and the particular solution yp. 6) y" + 2y' +y= .73
(1 point) Find a particular solution to y" + 6y' + 9y = –2e-31 yp = (-te^(-3t)/3+(1/9)-(e^-3t)/(9)-t^2e^-(3t))
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()...
1. Set up the appropriate form of a particular solution yp, but do not determine the values of the coefficients y" +9y' = x2 + cos 2x
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...
use variation of parameters to find a particular solution yp(x) y" + 6y + 8y = e2x dx + y2() San f(x)y2(x) f(x)yı(2) Recall that, yp(x) = -41(x) dr. aW(41, 42) aW(41, 42) If you use the method of undetermined coefficients you will receive zero credit.
7. (10 points) Find a particular solution yp(t) to the nonhomogeneous equation ty + y - y = 24t*, t> 0, given the fact that the general solution of the associated homogeneous equation is yn(t) = cit + cat-, C1, C2 E R
1. Set up the appropriate form of a particular solution yp, but do not determine the values of the coefficients V" +y = r? + cos2.c 2. Transform the following differential equation into an equivalent system of first order differential equations - 312) - 4x + 2x2 - 2 cost