I am new to Mathematica and probably the thing I am looking for is straightforward, I tried some approaches but I couldn't succeed.
I have a DE and I want to have a solution parametrized by the parameter of DE. More precisely,
Let's define the DE as:
x'=f[x,t,a] where "a" is the parameter and I want to have the solution of x as a function of time and parameter, which I name the function g as follows.
when the DE is basic, it is easy to use DSolve and obtain it, but I couldn't find a way to obtain such solution with NDSolve. An easy way to show/compare the results with different parameter values would also be fine.
I would really appreciate your suggestions. Thanks!