Apologies in advance, I'm rusty and having some trouble and really want to make more of an effort to keep up with my current year.
Have a simple differential:
dx/dt = x^3
Initial condition x(0) = x0
Apparently a simple integration by parts yields:
x(t) = x0 / (1-2x0^2 t)^1/2
I know i'm falling at something trivial and just not recognising the form. Could someone explain this expression? (how has it retained t terms?)
Thank you for bearing with me. Once I get the ball rolling, maybe I can come up with better questions