Find the explicit descriptions (“solutions”) for the following difference equations: 6.



Find the explicit descriptions (“solutions”) for the following difference equations: 6.
3. Consider the following system of equations (a) Check if the explicit functions, y,-hi (ri,T2) and y-h2(zi,T2), exist. (b) Find explicit functions. (c) Find and 2 h21, 2), exist all.
3. Consider the following system of equations (a) Check if the explicit functions, y,-hi (ri,T2) and y-h2(zi,T2), exist. (b) Find explicit functions. (c) Find and 2 h21, 2), exist all.
Find all equilibrium solutions of the system of ordinary
differential equations d
(6 points) Find all equilibrium solutions of the system of ordinary differential equations ry - 2x dir dt dy dt = my - r - 2y + 2,
Find the solutions to the following trigonometric equations on the gi answers whenever possible. Q6.1 6 Points 3 cos(0) = 1 on [-, 7] Please select file(s) Select file(s) Submit Answer Q6.2 6 Points sin(0/3) = 1 on (0,67] Please select file(s) Select file(s) Submit Answer 063
Find all solutions of the system of equations if possible x,-3y =-6 2x + 6y = 12
Differential Equations
(4) Find the Wronskian of the following sets of solutions. Do the solutions form a fundamental set on the given intervals? a) х, хе х> 0 b) cost, sint
[10] 6. Find the general solutions to the equations (a) 2x+y" + 5xy' + y = 0, (6) Y" – 2y + 5y = 3, YIV – 2k²y" + k*y = 0, (c) where k is a positive parameter.
Differential Equations
Confused on how to do this
(2) (Spts) Find the explicit solution of the initial value problem 12 = 7e-2 – 2y where y(0) = 1.
[10] 6. Find the general solutions to the equations (a) 2.2 y' + 5.cy' + y = 0, (6) c) where k is a positive parameter. y" - 2y + 5y = 3, yl - 2k’y" +k y=0,
Find all of the EXACT solutions on the interval [0,2T) for the following equations: 1. 4 sec 0 = -8 2. 7 tan20 = 21 3. 2sin 0 + 2cos 0 = -6 Hints: You'll need to square both sides AND use a double angle identity. 4. 2cos(30) + 1 = 0 (no identities needed to solve)
using undetermined coefficient methods, find general
solution of the following equation.
QUESTION 6 (27 Marks). Using Undetermined Coefficients Methods, find general solutions of the following equations y,"-D'+y=e"(x2 + x + 1). (17 Marks) ) a)
QUESTION 6 (27 Marks). Using Undetermined Coefficients Methods, find general solutions of the following equations y,"-D'+y=e"(x2 + x + 1). (17 Marks) ) a)