- #1
VanHa
- 2
- 0
I've been trying to solve differential equation:
[tex] y' = \frac{x+y}{x-y} [/tex]
I came to the point where I got following integrals:
[tex]\int \frac{(1-z) \cdot \,dz}{1+z^2} = \int \frac{dx}{x} [/tex]
The integral on the left side is the problem. I tried substitution:
[tex]t = 1+z^2 [/tex]
but I always end up with one dz left in the numerator.
I did the differential equation with numerator and denumerator inversed without problems, but I'm stuck on this one and I have a feeling that I can't figure out a trivial thing.
Any hints?
Thanks for help!
[tex] y' = \frac{x+y}{x-y} [/tex]
I came to the point where I got following integrals:
[tex]\int \frac{(1-z) \cdot \,dz}{1+z^2} = \int \frac{dx}{x} [/tex]
The integral on the left side is the problem. I tried substitution:
[tex]t = 1+z^2 [/tex]
but I always end up with one dz left in the numerator.
I did the differential equation with numerator and denumerator inversed without problems, but I'm stuck on this one and I have a feeling that I can't figure out a trivial thing.
Any hints?
Thanks for help!