- #1
missmaria
- 11
- 0
So this question pertains to some process engineering homework i have, which is basically the following:
I have an ODE that has the form: [tex]\frac{dh^{p}}{dt}[/tex]+h[tex]^{p}[/tex]+[tex]\int h^{p}[/tex]=F[tex]^{p}[/tex]{t}
where F[tex]^{p}[/tex]{t} is the unit ramp function (i.e. F[tex]^{p}[/tex]{t}=0 when t<0, and is equal to t when F[tex]^{p}[/tex][tex]\geq[/tex]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??
Thanks in advance, i appreciate your help
I have an ODE that has the form: [tex]\frac{dh^{p}}{dt}[/tex]+h[tex]^{p}[/tex]+[tex]\int h^{p}[/tex]=F[tex]^{p}[/tex]{t}
where F[tex]^{p}[/tex]{t} is the unit ramp function (i.e. F[tex]^{p}[/tex]{t}=0 when t<0, and is equal to t when F[tex]^{p}[/tex][tex]\geq[/tex]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??
Thanks in advance, i appreciate your help