(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 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,...
(1 point) Find the solution of x²y" + 5xy' + (4 – 3x) y = 0, x > 0 of the form y=x" Wazek, k=0 where ao = 1. r = help (numbers) ak = , k=1,2,3,... help (formulas)
( xy 7. CHALLENGE: fxy(x, y) = 0< < 2, 0 <y <1 otherwise 0 Find P(X+Y < 1) HINT: consider the region of the XY plane where the inequality is true.
3. [10pts] Consider the DE: xy" + 7xy' + Ty = 0. (a) Find the roots rı and r2 of the indicial equation of the DE (with rı >r2). r = r2 = Solution: (b) If we use Frobenius method to solve the DE, we obtain for the largest indicial root and for n > 0, a recurrence acn relation of the form Cn+1 where a and b are constants. Find a and b. m11
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.
Any help would be appreciated! Problem 4 Let (X, Y)~ N and Z = X1(XY > 0}-X1(XY < 0} (1) Find the distribution of Z (2) Show that the joint distribution of Y and Z is not bivariate normal.
arctan log (?)) for any r > 1: Problem 4. Given that y = y(x) a) Evaluate r = *(y) at y = /4; b) Evaluate da/dy at y = 0.
Find the solution of 4?2?″+6?2?′+?=0,?>04x2y″+6x2y′+y=0,x>0 of the form ?1=??(1+?1?+?2?2+?3?3+⋯)y1=xr(1+c1x+c2x2+c3x3+⋯) Enter Need help getting last coefficient (1 point) Find the solution of 4x2y" + 6x2y + y = 0, x > 0 of the form yı = x" (1 + (1x + c2x² + c3x3 + ...) Enter r = 1/2 ci = -3/4 C2 = 27/64 = -405/1408
5.1 Let fx(x) be given as fx(x) = Ke-x"Au(x), where A = (1, ..., I T with li > O for all i, x = (21,...,27), u(x) = 1 if r;>0, i=1,...,n, and zero otherwise, and K is a constant to be determined. What value of K will enable fx(x) to be a pdf? diena - co ma wana internetow