Higher-order derivatives Find and simplify y''. x + \sin y = y

Sinead Mcgee

Sinead Mcgee

Answered question

2021-10-02

Higher-order derivatives Find and simplify y.
x+siny=y

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-10-03Added 109 answers

Step 1
Given: x+siny=y
To compute : y''
formula: (sinx)=cosx
(cosx)=sinx
Step 2
Lets differentiate the given function with respect to x
y=1+cosy
Again differentiating above y' we get
y=siny
y=(yx)
y=y+x
y+yx=0 or y=xy

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