simple def eq problem, giving me lots of problems

camlax38

New member
Joined
Sep 25, 2006
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11
I cant seem to get this right the problem is.
(dy)/(dx) =(6x^2)(y^6)
satisfying the initial condition y=1 at x=-1.
Now when I solve for C i end up getting 9/5.
Then continue to on with the problem I am getting y=5sqrt(1/(10x^3 +9))

Im doing the problem for an online homework and it keeps saying its wrong!
Any help would be appriciated(sp).
Thanks
Cam
 
I, too, get c=9/5.

After separation of variables, integration and the intial condition:

\(\displaystyle \L\\\frac{-1}{5y^{5}}=2x^{3}+\frac{9}{5}\)

Solving this for y yields:

\(\displaystyle \L\\y=\frac{-1}{(10x^{3}+9)^{\frac{1}{5}}}\)
 
Thanks, that helped alot, I see with mine I was taking the 5th root of a neg number :cry: which wasnt workin so hot for me. Worked yours backwards and see how ya did it.

Thanks again for the help
 
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