Find the use any general solution of (You can method for You Y" +4y=2
Using any method you prefer, find the IVP solution of the given probler y'' + 4y' = 0; y(0) = - 10, y'(0) = 36 The solution is y(t) =
9. Find the general solution y(t) using the method of undetermined coefficients. (d) y" 4y + 4y = tºe21
Problem 3 (12 points) Find the general solution y(2) of y" – 4y = 2631 using Variation of Parameters Method.
2. Find the general solution to y(4) -4y" +14y" +44y+25y 0 3. Find the general solution to y" +y-sin r
(17 points) (a) Find the general solution of the differential equation y" (t) + 4y(t) = 0. general solution = (Use the letters A and B for any constants you have in your solution.) (b) For each of the following initial conditions, find a particular solution. (i) y(0) = 0, y'(0) = 1: y = (ii) y(0) = 1, y'(0) = 0:y= (iii) y(0) = 1, y(1) = 0:y= (iv) y(0) = 0, y(1) = 1: y = (On a...
dy 2. Find the general solution of -y+e"y dv -6xy 3. Find the general solution of t dr 4y+9x2 dy dx Find the general solution of бх2e" + 4y. 4. 5. Find the general solution of dr (y +2) dy 5x +4y Find the general solution of dx 8y3 d By'-4x
(3): Use any method of your choice to obtain a general solution for the differential equation given below. Assume zero initial condition. y + 4y + 4y = t + sin(t)
4. (30 pts.) Use the Method of Elimination to find general solution of the linear system. You are not allowed to use other methods. Then find the particular solution that satisfies the initial conditions. x'--3x-4y y'-2x+ y
Find the general solution to y" + 4y = sec (2t).
(2) (4 marks.) Find the general solution of the ODE e-2x Y"' + 4y + 4y = X > 1. 2