Hello

I've this equationusing inspection:

ok

I couldn't solve it using any method !!

how in earth can i solve this one using inspection !!!!

Printable View

- Feb 12th 2011, 04:58 AMLiverpoolSolve the following ODE .. #9
Hello

I've this equation**using inspection**:

ok

I couldn't solve it using any method !!

how in earth can i solve this one using inspection !!!! - Feb 12th 2011, 05:29 AMAckbeet
Well, I don't know about

*inspection,*but the substitution renders the equation separable:

and hence the DE becomes

- Feb 12th 2011, 05:54 AMLiverpool
Thanks !!

it is really hard

thanks you man

But am really intrested for the "inspection solution" for it since it is in the inspection section's exercises - Feb 12th 2011, 06:20 AMGeneral
Hello,

Here is what do you want:

We have

... (1)

Your equation is ready for integrating now.

Again, equation (1) is equivalent to the last equation in Ackbeet's reply.

Another way ,if you are intersted , :

We have ... (2)

Multiplying (2) by and substituting will give you a linear equation. - Feb 12th 2011, 06:36 AMAckbeet
- Feb 15th 2011, 08:53 PMLiverpool
Thanks all.