Find the solution of the initial value problem [y(0)=-1, у"(0)=-3, у "(0)=0, у"(0)-0] a) y--3-х -2x-2x f None of the above.
MATLAB HELP (a) Use the command dsolve to find general solutions to the differential equations below. i. y 00 + 3y = 0 ii. y 00 + 4y 0 + 29y = 0 iii. y 00 − y/36 = 0 iv. y 00 + 2y 0 + y = 0 v. y 00 + 6y 0 + 5y = 0 (b) Graph each of the solutions in (a) in the same window with 0 ≤ t ≤ 10, using the...
5) Consider the IVP у"F-у, + 2У = 5x,y(0)= 4, y'(0) =-4. 5) Consider the IVP у"F-у, + 2У = 5x,y(0)= 4, y'(0) =-4.
Consider the following when x = 8m and y = 3m. x у (a) Find the perimeter of the figure. m (b) Find the area of the figure. 2 m Find the value of x. O X = X j 5 x 3x + 40° k
(л +у)? )1 (а) Find or show that it doesn't exist lim (x,y)-(0,0) 2y2 (b) At what points in R2 is the function (x + y)2 if (r, y)(0,0), f(x,y) otherwise brief explanation continuous? Give a (л +у)? )1 (а) Find or show that it doesn't exist lim (x,y)-(0,0) 2y2 (b) At what points in R2 is the function (x + y)2 if (r, y)(0,0), f(x,y) otherwise brief explanation continuous? Give a
y"-xy,-у 0, find the recurrence relation for the coefficients of the r series solution aboutx 0. Then find the first six nonzero terms of the particular solution that satisfies y(0) = 1 and y'(0) = 2.
2. Given two initial value problems, у" — р(г)у +q()у +r(x) with a <I<b,y(a) — с,1 (а) —0 (1) and у" — р(г)у + g(х)у with a < r <ь,y(a) — 0, and / (а) — 1 (2) [a, b) where p(x), q(z) and r(x) Show that given two solutions yı(x), y2(x) to the linear value problems above, (1) and (2), respectively, then there exists a solution y(x) to a linear boundary value problem above where y(a) %3D 0, у...
У"-у,_6y 8. y'(0)-0 -cost y(0)-0 9. y"-y,-6y-3 sin2t y'(0) y(0)-1 0
Let the joint pmf of X and Y be p(x, у) схуг, x-1,2,3, y-12. a) Find constant c that makes p(x, y) a valid joint pmf. c) Are X and Y independent? Justify d) Find P(X+Y> 3) and PCIX-YI # 1)
3. For a multinomial distribution with; n-55, k-4, pi-0.1,p2-0.3, pj-0.4 and P4-0.2 find: P( У-10.y2-10.у,-20, y,-15)