# Calculus-HELP PLZ !!!!

posted by Sara

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

1. Steve

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

## Similar Questions

1. ### calculus maths

Hi can some one help, explain the following please. I seem to have issues with this: 1- Find the corresponding particular solution (in implicit form) that satisfies the initial; condition y = when x = 0. 2- Find the explicit form of …
2. ### Maths

Hi I am really sorry I now people have already attempted to help me with this one already, however I am still not able to understand, I really have not done a lot of these equations and am struggling. I have put a little more information …
3. ### Calculus

Find a general solution to each first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write all solutions explicitly if possible. dr/dè = r^(2)/è
4. ### Calculus

Find a general solution to each first ¨C degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. dx/dt=¡Ì(x+t+1)
5. ### Calculus-HELP!!!

Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1)
6. ### STEVE or REINY-plz help!

Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1) Thank you in advance …
7. ### calculus

Find the particular solution to y ′ = sin(x) given the general solution is y = C − cos(x) and the initial condition y(pi/2)=1
8. ### Calculus!!

Consider the differential equation given by dy/dx = xy/2. A. Let y=f(x) be the particular solution to the given differential equation with the initial condition. Based on the slope field, how does the value of f(0.2) compare to f(0)?