Plotting ODE's Solutions and Intial Value Problems Using TI-Nspire?

MathWarrior

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?