Help Needed: Solving a Diff. Equation with y' = 1 + x.(cos y)^2

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The discussion centers on solving the differential equation y' = 1 + x(cos y)^2. A user attempted the substitution y = arccos z but found it ineffective. The community is called upon for hints or alternative methods to approach this equation. Effective strategies for solving nonlinear differential equations are sought.

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AlbertEinstein
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Any Hints pleasezzz.

hey guys can u please give a few hints on how to solve the following diff equation---
y' = 1 + x.(cos y)^2

I have tried the substitution y = arccos x but it does not work. please help me.
thanks in advance.
 
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sorry y=arccos z.(instead of arccos x)
 

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