Off-diagonal Posted July 15, 2007 Share Posted July 15, 2007 [math] \frac{H''}{H}+\frac{2}{r}\frac{H'}{H} = 0 [/math] when H is a function of r and H" is second derivative with respect to r solve for H please help me Link to comment Share on other sites More sharing options...
Country Boy Posted July 15, 2007 Share Posted July 15, 2007 A first obvious step is to multiply through by H! You now have [math]H"+ \frac{1}{r}H'= 0[/math]. Let Y= H' and now [math]Y'+ \frac{1}{r}Y= 0[/math] or [math]Y'= -\frac{1}{r}Y[/math] which is a simple separable equation. Solve for Y, then solve H'= Y. Remember that the solution is only valid for H not equal to 0. Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now