Solving a Nonlinear Differential Equation with Multiple Methods

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Homework Statement



Solve the follwing differential equation
2y'-(x/y)+x^3 cosy = 0 solve?

Homework Equations



Linear Differential equation: y'+py=q
exact differential equation: Mdx+Ndy=0

The Attempt at a Solution



both of the methods i have applied ... but didnt work
later i tried it as Bernoulli Differential equation in x... but variables are not coming in

x' + px = q form...


kindly help me or give me hint to solve the above differential equation.
 
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This is a non-linear ODE because of cos y. Standard linear ODE solution techniques won't work.
 
Give me some hint ... I have also tried Cauchy and legendre methods as well ... But no one works here
 

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