(1 point) Find the solution of x2y" + 5xy + (4 + 3x)y = 0, x > 0 of the form Yi = x" Ž Cpx”, n=0 where co = : 1. Enter r = Cn = n = 1,2,3,...
(1 point) Find the solution of xy" + 5xy' + (4 + 1x)y = 0, x > 0 of the form Yi = x n=0 where co = 1. Enter r = -2 Cn = - n= 1,2,3,...
(1 point) Find the solution of cºy" + 5xy' + (4 - 4x)y = 0, 2 > 0 of the form 00 yi =T n0 where co 1. Enter T= Cn = n = 1,2,3,...
-3x > 0 An exponential distribution is given by f(x) zero, x <0 Find the distribution of the random variable Y X2
Suppose that X ~ unif(0,1). Find the distribution of Y = (1 – X)-B – 1 for some fixed B> 0. (Name it!)
Please help me solve this differential Equation show all steps Find a continuous solution satisfying +y-f(x), where f() Ji 10 { 0<r<1 > 1 and y(0) -0.
For f(x, y) = k(x2 + y2), 0<x< 1 and 0 <y<1 and 0 elsewhere: a) Find k. b) Are X and Y independent? c) Find P(X<0.5, Y>0.5), P( X = 0.5, Y>0.5).
1. Given the piece-wise function, 3x if x < 0 f(x)=x+1 if 0 < x 52 :- 2)2 if x>2 Evaluate f (__); f(0); f (); f(5)
Locate the solution region Find the corners. (Select all that apply.) (0, 5/2) (0, 2) (0, 5) (0, 6) (1, 2) (1, 3) (5/3, 0) (2,1) (3,1) (5,0) (6,0) The graph of the boundary equations for the system of inequalities is shown with the system. 2x + 6y 2 12 3x + 6y > 15 6x + 2y > 10 x20, y20 6x + 2y = 10 3x + y = 15 2x + y = 12
Could someone explain how these to get these phase portraits by hand with ẋ=y and ẏ=ax-x^2 especially for a=0 case where you have eigenvalues all equal to zero? 6.5.4 a>0 Sketch the phase portrait for the system x = ax-x, for a < 0, a = 0, and For a -(0 We were unable to transcribe this imageFor a>0 ES CS