Solving an integral and plotting the result

I have the differential form of an equation which i want to integate to obtain a relation between 2 variables and then plot them against each other.

In this particular equation, I have Gfbar and Gobar as functions of wbar. I also have the limits for wbar and tbar and I need to know the relation between wbar and tbar and also plot wbar vs tbar. Everything else is a constant.

[Walter Roberson]

To confirm: Gfbar and Gobar are functions of wbar, which in turn is a function of tbar ?

If you have boundary conditions, use tbar as your time variable and use ode45 or ode23s to do the integration.

[Khanak Saxena]

I want to ultimately find Gobar and Gfbar as a function time. Through solving this, I will have a relation between wbar and time and since i have the relations Gobar and Gfbar and wbar seperately, I will have the relations with time as well