Can Anyone Solve These Challenging Differential Equations?

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SUMMARY

This discussion focuses on solving two challenging differential equations. The first equation, 3y' + 3x/y = 2(xy)^4, was attempted using the Bernoulli method but did not yield a standard form. The second equation, x' - 2xy = y exp(-3y^2)[x exp(-y^2) + 3(x exp(-y^2))^2], was approached with the substitution x exp(-y^2) = u, but a solution was not found. Participants express skepticism about the authenticity of the equations presented.

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hhegab
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Hi,
I have been trying to solve the following differential equations I was stuck with them. I will appreciate any help from you;
1- 3 y' +3x/y =2(xy)^4
I have tried Bernoulli but I could not get a standard form.
2- x' -2 x y = y exp (-3y^2)[x exp(-y^2)+ 3(x exp(-y^2))^2]
I have tried here the substitution x exp(-y^2)= u , but I could not also find the solution.

Can anyone do it?

hhegab
 
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The equation doesn't seems authentic to me.I will be looking for someone to solve it
 
thank you in advance man!

Hatim
 

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