- #1

- 360

- 0

this is the problem:

x

here's what i have done so far:

dy = (2y

(2y

i used the substitution y = xv then found an integrating factor and got

dx/x - dv/(2v

but i am stuck at this point..

i know ln(x) + C is the first part, but is there an easy way to find the second part? or am i totally off to begin with?

this is the solution:

[PLAIN]http://www4c.wolframalpha.com/Calculate/MSP/MSP50419e2227898a2f2f0000026hh297a4ebd6b3h?MSPStoreType=image/gif&s=33&w=154&h=47 [Broken]

i am at a loss for how they got to this point

x

^{2}y' = (2y^{2}- x^{2})here's what i have done so far:

dy = (2y

^{2}/x^{2}- 1)dx(2y

^{2}/x^{2}- 1)dx - dy = 0i used the substitution y = xv then found an integrating factor and got

dx/x - dv/(2v

^{2}- 2v - 1) = 0but i am stuck at this point..

i know ln(x) + C is the first part, but is there an easy way to find the second part? or am i totally off to begin with?

this is the solution:

[PLAIN]http://www4c.wolframalpha.com/Calculate/MSP/MSP50419e2227898a2f2f0000026hh297a4ebd6b3h?MSPStoreType=image/gif&s=33&w=154&h=47 [Broken]

i am at a loss for how they got to this point

Last edited by a moderator: