# Some ODE help needed

1. Feb 3, 2009

### missmaria

So this question pertains to some process engineering homework i have, which is basically the following:

I have an ODE that has the form: $$\frac{dh^{p}}{dt}$$+h$$^{p}$$+$$\int h^{p}$$=F$$^{p}$${t}
where F$$^{p}$${t} is the unit ramp function (i.e. F$$^{p}$${t}=0 when t<0, and is equal to t when F$$^{p}$$$$\geq$$0

So my question is how do i solve this ODE without using Laplace transforms?? Can there even be an integral in such an ODE??