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rsoy
New member
- Mar 3, 2013
- 14
Hi all
can please explaine to me what is integration of y/(x^2-y^2) dx
step by step ...
can please explaine to me what is integration of y/(x^2-y^2) dx
step by step ...
Did you check out the Heaviside cover-up method I pointed you to the other day for partial fraction decomposition?Hi all
can please explaine to me what is integration of y/(x^2-y^2) dx
step by step ...
No, this isn't correct , you are missing an absolute value and a ln in the second part !1/2ln(x-y) + -1/2(x+y)
YesDid you check out the Heaviside cover-up method I pointed you to the other day for partial fraction decomposition?
Still , you are missing the absolute value , also C here is a function of y it is is usually wirtten \(\displaystyle \phi(y)\)1/2ln(x-y) + -1/2ln(x+y) + c
Has this question come from trying to solve a differential equation, which would make y a function of x? Or are you doing a "partial integral", in other words, holding y constant while trying to integrate with respect to x?Hi all
can please explaine to me what is integration of y/(x^2-y^2) dx
step by step ...
Another approach.Hi all
can please explaine to me what is integration of y/(x^2-y^2) dx
step by step ...
Hyperbolic functions...Another approach.
If you have a list of derivatives of trigonometric functions, you should have:
$$\frac{d}{dx} \text{ artanh } x = \frac 1 {1-x^2}$$
$\displaystyle\int \frac{y}{x^2-y^2}\,dx$
The OP has not specified if this is actually the case...Hello, rsoy!
Since $y$ is treated as a constant $b$
I believe your earlier suspicion that this arose in the process of solving an ODE was correct, i.e., that $y$ is actually dependent upon $x$.The OP has not specified if this is actually the case...