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# Differential calculus

Wed 27 Aug, 2014 11:21 pm
I want to know the solution of the differential equation of type
(dy/dx)*(ay-b)=c/x^2-ey ^2
where a,b,c,e,f are the positive constant.
Provided that a boundary condition is y(f)=0;Please if anyone have ideas to slove this,please supply me some hits for solving this problem.
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RealEyes

1
Thu 28 Aug, 2014 12:14 am
@krishna basnet,
For the sake of clarity, should the equation look like this:

y' (ay- b) = c /(x^2 - e y^2)

y' = c/ [(ay- b) (x^2 - e y^2)]

F isn't defined here (you state only that f is not 0). Please expand on your notations and conventions.
krishna basnet

1
Thu 28 Aug, 2014 01:25 am
@RealEyes,
y'=(c(x^-2)-e(y^2))/(ay-b)
y is defined and continuous over the domain [g,f] such that value of y=0 when x=f;

here a ,b, c, e, f, g all are constant.This type of differential equations arises when i am working and try to solving the problems in physics by assuming that previously used theorem has some limitation.After solving this differential equations,i want to see that new relation arises from this differential equation can full fill limitations assuming by myself.
So you just assume that problem is hypothetically arises and please try to provide me some hits if you have.
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