aligned & y= ( (x^2+2 x+1 ) ) & (x+1)^2 d^2 y d x^2 +(x+1) d y d x = aligned

Step-by-step solution

(b) Given, y= ( (x^2+2 x+1 ) ) y= [2 (x+1)] So, d y d x = [ (2 (x+1)] ( 2 x+1 ) . (x+1) d y d x =2 (2( (x+1)) On differentiating both side with respect to ' x ' aligned & (x+1) d^2 y d x^2 + d y d x =-2( (2 (1+x))) ( 2 x+1 ) & (x+1)^2 d^2 y d x^2 +(x+1) d y d x =-4 y aligned