find the solution of 2ty'-4y=4t^(4)*e^(t^2)
y(1)=0
Find the solution of 2ty' – 4y = 4t4eť, y(1) = 0. OA tet? tet – et OC tet– et? OD t² et² 2t2 OE eta — e
The function Y(t) = t is a solution of the differential equation (t2+4)y" - 2ty' + 2y = 0. Find a real general solution of this equation.
(1 point) Find the solution of y" + 4y' = 256 sin(41) + 160 cos(4t) with y(0) = 4 and y'(0) = 4.
11. Solve the initial value problem y-4y 4t- 8e: y (0) = 2,y (0)= 5 (10 points) B. 2te-e-t+e A. te +2e 2 +2t-e -t +e C. 2te 2 -e -t+e D. te -2e 2
#32 U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
(2) (4 marks.) Find the general solution of the ODE e-2x Y"' + 4y + 4y = X > 1. 2
displacement at any time t (5 points) Find the solution of the BVP:y"-4y:0 , y(0)=0, y(1)=0 ,
Find the solution of the initial value problem y′′+4y=t^2+6e^t, y(0)=0, y′(0)=5. Enter an exact answer. Enclose arguments of functions in parentheses. For example, sin(2x).
Use the LaPlace transforms to find the solution to y''+4y'+5y=∂(t-2π) y(0)=0 and y'(0)=0
Please help me with c. (1 point) Consider the initial value problem y" 4y g(t), y(0) 0, y(0) = 0, if 0<t4 where g(t) if 4too a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transfom of y(t) by Y (8). Do not move any terms from one side of the equation to the other (until you get to part (b) below). ... s 2Y(s)+4Y(s) (e(-4s)-s)(4+1/s)+1/ s^2...