Question

If y= sin (logx) and x² y2 + xy +y=0 them​

Answer 1

Answer:

y = sin(logx) y1 = cos(logx)xcos(logx)x xy1 = cos(log x). Again differentiate w.r.t. x xy2 + y11 = −sin(logx)x−sin(logx)x x2y2 + xy1 = -y ⇒ x2y2 + xy1 + y = 0.Read more on Sarthaks.com - https://www.sarthaks.com/651401/if-y-sin-log-x-show-that-x-2y2-xy1-y-0?show=651410#a651410