I have been trying to figure out how to plot a differential equation using my TI Nspire with very little luck. I managed to find that I can set the graph of the calculator to a directional field but I am not 100% sure I am getting the right results. So I figured I would ask to see if anyone here uses a TI Nspire and can give me an idea of how to plot these equations. For example I have the equation y'=-2y^2 where a solution for it is: y(t)=3/(6t-11) with an initial value of: y(2) = 3 in my TI Nspire I put in something such as: y1'=−2*y1^(2) but since I know y(2)=3 what do I do? exactly? Am I doing this right? I also have another equation where: y'+4y=cos(t) a known solution of y(t) = 4/17cos(t)+1/17sin(t)+Ce^-4t and initial known value of: y(0) = -1 should I solve this in terms of y' to plot it or what exactly?