dy/dx= x-y ; Please help ASAP

[mathemachine]

I have seen a few posted questions about this problem, but I don't understand any of them. Please help. I need to solve the differential equation dy/dx= x-y. I realized that this problem appears very simple and may have a simple answer, but please bear with me. Please show step by step how you solved the problem. Additionally, I have seen an answer where one uses substitution. Please avoid this particular method because this is not the one I'm looking for. I just need to separate the variables to differentiate both sides and find the original equation. Thank you for your help.

 

[Deleted member 4993]

I have seen a few posted questions about this problem, but I don't understand any of them. Please help. I need to solve the differential equation dy/dx= x-y. I realized that this problem appears very simple and may have a simple answer, but please bear with me. Please show step by step how you solved the problem. Additionally, I have seen an answer where one uses substitution. Please avoid this particular method because this is not the one I'm looking for. I just need to separate the variables to differentiate both sides and find the original equation. Thank you for your help.

This is not a separable variable type of problem.

If

y' + y*p(x) = g(x)

then the integrating factor is \(\displaystyle \displaystyle{e^{\int p(x)dx}}\) and you need to multiply both sides of the DE by this factor and solve.

 

[Deleted member 4993]

I have seen a few posted questions about this problem, but I don't understand any of them. Please help. I need to solve the differential equation dy/dx= x-y. I realized that this problem appears very simple and may have a simple answer, but please bear with me. Please show step by step how you solved the problem. Additionally, I have seen an answer where one uses substitution. Please avoid this particular method because this is not the one I'm looking for. I just need to separate the variables to differentiate both sides and find the original equation. Thank you for your help.

If you have not solved it yet:

Go to:

http://www.enotes.com/homework-help/how-do-integrate-dy-dx-x-y-please-171853

to see another way to solve the DE>