Attachment 27325anyone can give me the full solution of question 13? I stucked halfway (Worried)

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- March 1st 2013, 10:04 PMhwo94How to solve this into particular solution??
Attachment 27325anyone can give me the full solution of question 13? I stucked halfway (Worried)

- March 2nd 2013, 12:47 AMProve ItRe: How to solve this into particular solution??
I am always very dubious when people beg for full solutions after I read things like "I'm stuck halfway" or "I've gone as far as I can" without even showing what they have done to prove they've put in some effort. When I see that, I'll put in some effort to solve this DE...

- March 2nd 2013, 07:00 AMhwo94Re: How to solve this into particular solution??
Attachment 27329 when i use this way,i cant find the answer

- March 2nd 2013, 07:07 AMProve ItRe: How to solve this into particular solution??
You can't take variables outside of integral signs like you can with constants. You will need to use a substitution with each integral.

- March 2nd 2013, 07:25 AMMINOANMANRe: How to solve this into particular solution??
HW094

It seems that you have no nowledge of integration .

How you took out of the integral the variables y and x

First you did correct to separate the variables after all this D.E can be done this way.

now try to integrate the fractions (y/y^2+1)dy and (x/x^2+1)dx both are the same....

Manipulate the differential dx and make it d(x^2+1) and divide the integral by 1/2 the integral will look like this

(1/2)integral(d(x^2+1)/(x^2+1)) which of course give you (1/2)Ln(y^2+1) = (1/2)ln(x^2+1)+k or you may put k=(1/2)lnc

so that y^2+1=c(x^2+1)

Use the conditioons given to calculate the constant c which is 1/2

therefore the solution of the D.E IS y^2=1/2(x^2+1)-1

check the calculations for any typing error .

MINOAS