If a differential equation of the form dy/dx+P(x)y=Q(x)y^n where n=-(1/2) Is it still consider to be bernouilli's form ? to I still solve it using the standard steps ?

Question

If a differential equation of the form dy/dx+P(x)y=Q(x)y^n where n=-(1/2)   Is it still consider to be bernouilli's form ? to I still solve it using the standard steps ?

anonymous · Answer

are you there, this is going to be tough one maybe

anonymous · Answer

yes and no is the answer to your question, because sometimes the differential equation has its general elementary functional solutions, and at other times they are specific, some others can't even be solved by the normal methods and techniques which leads you to the field of numerical analysis of differential equations, however the differential equation such as the bernoulli one, or hermit, or Legnderie whatever his name is, are all techniques that may meet the ordinary way of solving a problem and may be specific for certain functions in mathematics.

anonymous · Answer

so to clarify that point i  need to derive the system for you

anonymous · Answer

you can use integration factor for the substitution, but on the other using the transformation to an independent variable bounds the equations to one that is linear in z.

anonymous · Answer

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