y′ + 3y = t + e^−2t
I just need the general solution (please explain the process)
y′ + 3y = t + e^−2t I just need the general solution (please explain the...
Give a linear constant-coefficient differential equation that has general solution y(t) = e 2t + sin(2t) + c1e t + c2tet + c3e −t 7. Give a linear constant-coefficient differential equation that has general solution y(t) = {2+ + sin(2t) + let + Catet + cze-t
1.Find the general solution to the following ODE's a). y'' +y= sec^2t b). x^2y'' +3xy'+3y=0
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
Find a general solution to the given Cauchy-Euler equation for t> 0. 12d²y dy + 2t- dt - 6y = 0 dt² The general solution is y(t) =
Find the solution of the given IVP y" + 3y' + 2y = Uz(t); y(0) = 0, y'(0) = 1 + e-(t+2) e-2(t+2) + e 2 a. y=et-e-t + uz(t) [+ b. y=et +e-+ + uz(t) [ – e-(6-2) + že=2(t-2)] c. y = e-t-e-2t + uz(t) (2) - e-(4-2) + že=2(t-2)] + d. None of these
PROBLEM 37: Find the general solution to inhomogeneous ODE y" 3y 2y 4t using the method of undetermined coefficients with the guess yp = At + B PROBLEM 38: Solve the inhomogeneous ODE 13 cos(2t) y" 7y12y + using the method of undetermined coefficients PROBLEM 39: Find the general solution for y"4y4y exp(-2t) + using the method of undetermined coefficients
just need the answer please Question 3 Give the general solution to r'y'+ 2 y -2 cos(3z) y 1/2 3/2 r3 sin(3r) +Cr a) b) y/2 sin (3z) + Cr 3 = T 3 sin(3z) + Cr c) y 3/2 sin(3z) + Cr 3 d)y1/2 1/2 r sin (3r) + Cr e) None of the above. Question 4
Q2: Find a general solution to the differential equation 3y" (e)3y(e) csc3 (e) SC = Q2: Find a general solution to the differential equation 3y" (e)3y(e) csc3 (e) SC =
Use undetermined coefficients to find the particular solution to y''−4y'+3y=2t^2+5t+5
Find the general solution to y" + 4y = sec (2t).