Given the equation dy/dt= t-(y^2) I have to compute 2 approximate solutions corresponding to Delta t= 1 and Delta t= 0.5 on [0,1] We are given parameter of y(0)=1
I don't believe it is separable and I'm confused as to how to begin.
Given the equation dy/dt= t-(y^2) I have to compute 2 approximate solutions corresponding to Delta t= 1 and Delta t= 0.5 on [0,1] We are given parameter of y(0)=1
I don't believe it is separable and I'm confused as to how to begin.
The equation dy/dt= t-(y^2) is a Riccati equation. Using the classical method for solving this kind of ODE leads to the formal solution, which involves special functions (Airy or particular Bessel functions). But this is not what is asked for in the wording of the problem.