PROBLEM 8 THE EQUATION y" - 2 x y + 1 -2xy 14.0 ON WITH 1 A CONIT ANT 1J CALLED HERMITES EQUATION. D (i) BY SUBSTITUTING y = Z an x SHOW THAT 17=0 90+2° 120-7)90 FORD: 2,3,4, (N+2)(n+1) (ii) WHEN 1 = 2M WITH M A NON-negative Integer show that the corresponding solution is (iii) FIND the CORResponding a polynomial. polynomials when 1= 0, 2, 4, 6, 8, 10.