Question

solve the intial value problem
t du/dt = t^2 +3u t>0

Answer 1

rearrange it first, you might want to use an integration factor too. But for sure, you want to get it into standard form first.

Answer 2

\[u'-\frac{ 3 }{ t }u=t\]

So it is linear, it only requires in integration factor.

Answer 3

you can first solve\[\frac{ du }{ dt }=3u\],then you can change the constant into a function about t

Answer 4

or maybe you can try Matlab ,or Mathematics,or Maple sofware to solve this problem

Answer 5

@Freebird12, do you know about integration factors and such?