how can I solve this equation?
I found problems because of the derivative function squared. I need to collect the term derivative not squared...
Solved! Go to Solution.
Hmm squared.... Seems more like to the 3rd power.
You have (y'(t))^2 and mutiply that with 4 y'(t), that gives 4*(y'(t))^3...
Do you need a symbolic solution, or can you settle for a numeric approximation.
Either way: what are the initial values? [ y(0), y'(0)]
The third solution is y(t)=0, but I guess you weren't looking for that.
y(0)=1 was an arbitrary choice on my part, as no initial conditions were specified in the original question.
z(0)=-4 gives rise to a rapidly decreasing y with time (and with y(0)=1). If this is what is expected from the model then fine! Personally, I think it’s probably safer to stick with z(0)=0.