implicit function ，differeation

here we have implicit function , caculate

[Dyuman Joshi]

What does this question have to do with MATLAB? Specify through words, no one here can read your mind.

Answer 1

[Torsten]

syms x y(x) D2y
eqn = x + sin(y)/2 - y == 0

eqn(x) = 

d2eqn = diff(eqn,x,2)

d2eqn(x) = 

d2eqn_subs = subs(d2eqn,diff(y,x,2),D2y)

d2eqn_subs(x) = 

D2y = solve(d2eqn_subs,D2y)

D2y =