1. ## SDE

Solve the differential equation
Use the initial condition .
Express in terms of .
.

2. Originally Posted by charlottepanther
Solve the differential equation
Use the initial condition .
Express in terms of .
.
this is a separable differential equation. note that you can write it as $y^{17}~dy = \frac {1 + x}x~dx$

now integrate both sides and you should be able to take it from there

3. So would it be:

y^18/18 = lnx+x

and then separate the y?

4. Originally Posted by charlottepanther
So would it be:

y^18/18 = lnx+x

and then separate the y?
it would be $\frac {y^{18}}{18} = \ln x + x + C$

find C by using the initial condition. then you can solve for $y^{18}$

5. alright so y(1)=6

(6)^18/18 = ln(1)+1+C

5.64222*10^12 = 1+ C

Now What?

6. Originally Posted by charlottepanther
alright so y(1)=6

(6)^18/18 = ln(1)+1+C

5.64222*10^12 = 1+ C

Now What?
now you solve for C, plug it into the solution and solve for $y^{18}$ ...

7. Thanks for all the help. I end up with this answer.

(lnx +x+5642220000000)/18

but it is not accepted

8. Originally Posted by charlottepanther
Thanks for all the help. I end up with this answer.

(lnx +x+5642220000000)/18

but it is not accepted
of course not. that's wrong

9. Originally Posted by Jhevon
of course not. that's wrong
Haha, I am sorry I see what I did. I should have multiplied. Thanks for the help.

Jah Bless