Help Differential Equations types

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SUMMARY

The discussion focuses on identifying the types of four specific differential equations presented by a student seeking assistance before an exam. The equations include a mix of potential types: separable, Bernoulli, exact, linear, and homogeneous. The student expresses uncertainty about the classification of these equations and seeks hints for solving them. Notably, the third equation is suspected to be exact, although the student is unsure after a mental computation of the partial derivatives.

PREREQUISITES
  • Understanding of differential equations, specifically types such as separable and exact.
  • Familiarity with solving first-order differential equations.
  • Knowledge of partial derivatives and their applications in differential equations.
  • Basic skills in algebra and trigonometry relevant to manipulating equations.
NEXT STEPS
  • Research methods for solving separable differential equations.
  • Learn about Bernoulli differential equations and their transformations.
  • Study the criteria for identifying exact differential equations.
  • Explore linear differential equations and techniques for solving them.
USEFUL FOR

Students preparing for exams in differential equations, educators teaching differential equations, and anyone looking to enhance their understanding of various types of differential equations and their solutions.

BrettJimison
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Homework Statement


Good day all,

My professor gave my class a packet of about 40 differential equations.
I for the life of me cannot figure out how t solve these last 4!
I also have an exam tomorrow morning, and would like finish these last few.

I don't need them solved out, I would just like to know what kind they are a maybe a hint to get started on them!
NOTE: They WILL be one of the following types:

seperable
Bernoulli
Exact
Linear
Homogeneous

Homework Equations



1) (2x+1)dx+((x^(2)-y)/x)dy=0

2)(cos2y-sinx)dx+(-2tanxsin2y)dy=0

3)(x^(2)y+xy-y)dx+(x^(2)y-2x^(2))dy=0

4)dy/dx=(-3x^(2)y-y^(2))/(2x^(3)+3xy)[/B]

The Attempt at a Solution



I have tried all sorts of ways, some take a page plus. I can't tell of these have obvious solutions or if there is a trick. I am a little worn out after solving 35 of them.
Any help would be greatly appreciated!
Thanks!
 
Physics news on Phys.org
I think the 3rd one is exact, but I computed the partial derivatives in my head, so double check before you take my word on it.Actually nvm I don't think it is.
 

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