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For eg is there a way to find IF for
[tex] pydx +qxdy +x^my^n(rydx+sxdy)=0[/tex]
[tex] pydx +qxdy +x^my^n(rydx+sxdy)=0[/tex]
Dude, you obviously must have just skipped your fingers randomly across the keyboard and they just happen to randomly spell "saltydog" cus' I'm not in the same catagory as those guys. But nice to be around them though.mathelord said:collect like terms and express the equation in terms of mdx+ndy,since you need integrating factors,it will be e^(integral of (1/n)(dm/dy -dn/dx).you still need to get this confirmed.and ask for more help from hall,saltydog,matt grime and especially hurkyl.they are the best
I do not know exactly what you are asking. There is no way to find an integrating factor for a general differential equation. That is there is no general method to find the integrating factor of any differential equation. An integrating factor for your example differential equation can be found by a non-general method.himanshu121 said:For eg is there a way to find IF for
[tex] pydx +qxdy +x^my^n(rydx+sxdy)=0[/tex]
This will not work because and integrating factor that depends on x and y is needed. That ony works when there exist an integrating factor whose mixed second partial is 0. That if if there is an integrating factor of the form u(x) or u(y). Here we need an integrating factor of the form (x^py^q)^a.mathelord said:collect like terms and express the equation in terms of mdx+ndy,since you need integrating factors,it will be e^(integral of (1/n)(dm/dy -dn/dx).you still need to get this confirmed.and ask for more help from hall,saltydog,matt grime and especially hurkyl.they are the best