DY/DX = (7X - 3Y)^3

I used substitution Z = (7X -3Y) Then seperate the variables but i cannot do the integration of 1/(Z^3 - 7) Unless i am supposed to use another substitution??

Thanks!

Printable View

- Mar 5th 2010, 05:02 AMNiall101solving differential equation using substution
DY/DX = (7X - 3Y)^3

I used substitution Z = (7X -3Y) Then seperate the variables but i cannot do the integration of 1/(Z^3 - 7) Unless i am supposed to use another substitution??

Thanks! - Mar 5th 2010, 05:17 AMProve It
- Mar 5th 2010, 05:30 AMchisigma
The roots of the polynomial are...

(1)

... so that is...

(2)

... where...

(3)

Kind regards

- Mar 5th 2010, 10:17 AMNiall101