Question

could someone help me out with 14? i tried it and I get that it uses chain rule and second derivative but I’m so lost please help

Answer 1

d

Explanation:

`(d)/(dt)` (sinpt) = pcospt

`(d)/(dt)`(cospt) = - psinpt

Then

y = mcospt - nsinpt

`(dy)/(dt)` = - mpsinpt - npcospt

`(d^2y)/(dt^2)` = - mp²cospt + np²sinpt ← factor out - p² from each term

= - p²(mcospt - nsinpt) ← this is y

= - p²y