- #1

chwala

Gold Member

- 2,668

- 352

- Homework Statement
- See attached.

- Relevant Equations
- separation of variables

I am on differential equations today...refreshing.

Ok, this is a pretty easier area to me...just wanted to clarify that the constant may be manipulated i.e dependant on approach. Consider,

Ok I have,

##\dfrac{dy}{6y^2}= x dx##

on integration,

##-\dfrac{1}{6y} + k = \dfrac{x^2}{2}##

##k= \dfrac{x^2}{2} + \dfrac{1}{6y}##

using ##y(1)=0.04## we shall get,

##k=\dfrac{28}{6}##

##\dfrac{28}{6}-\dfrac{x^2}{2}=\dfrac{1}{6y}##

...

aaargh looks like i will get the same results...cheers

Ok, this is a pretty easier area to me...just wanted to clarify that the constant may be manipulated i.e dependant on approach. Consider,

Ok I have,

##\dfrac{dy}{6y^2}= x dx##

on integration,

##-\dfrac{1}{6y} + k = \dfrac{x^2}{2}##

##k= \dfrac{x^2}{2} + \dfrac{1}{6y}##

using ##y(1)=0.04## we shall get,

##k=\dfrac{28}{6}##

##\dfrac{28}{6}-\dfrac{x^2}{2}=\dfrac{1}{6y}##

...

aaargh looks like i will get the same results...cheers