Posted by **Sara** on Sunday, July 7, 2013 at 3:38pm.

Find a general solution to the first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible.

(9x^2+y-1)dx-(4y-x)dy=0, y(1)=0

- Calculus-HELP PLZ !!!! -
**Steve**, Sunday, July 7, 2013 at 4:25pm
This is an exact equation. If

P(x,y) = 9x^2+y-1

Q(x,y) = x-4y

∂P/∂y = ∂Q/∂x

So, we have

3x^3 - x - 2y^2 + xy = c

Since y(1) = 0,

3 - 1 - 0 + 0 = c so c=2

## Answer this Question

## Related Questions

- Calculus - Find a general solution to each first – degree ODE. If an initial ...
- STEVE or REINY-plz help! - Find a general solution to the first – degree ...
- Calculus - Find a general solution to each first ¨C degree ordinary differential...
- Calculus-HELP!!! - Find a general solution to the first – degree ordinary ...
- calculus maths - Hi can some one help, explain the following please. I seem to ...
- Maths - Hi I am really sorry I now people have already attempted to help me with...
- Calculus - Find the general solution of the DE. Write your solution explicitly. ...
- Calculus-HELP PLZ !!!! - Find the complete general solution to the 2nd ODE: 9y...
- ODE - if the DE x^2.y"+xy'-y=0 has a general solution c1x+c2.x^-1, use the ...
- Calculus-HELP!!! - Find the complete general solution and a particular solution ...

More Related Questions