How can I integral this equation and plot? please help me

dy/dt = y*t^2 + 3*y

y(0) = 1

t= 0:2

This is the equation which I want to integral

But when I integrate and plot this how can I get dy/dt. Because dy/dt becomes y when i intergrate it.

[John D'Errico]

You want to plot the derivative?

Surely it would be true, that if you know y(t), and t, then you can compute dy/dt, since you have the expression right there.

[jameslk]

yes i want to plot that equation after integral

and how can i get integral constant?

I don't have idea to do this with function int or integral

Answer 1

[Walter Roberson]

syms y(t) c
eqn = diff(y) == y*t^2 + 3*y

eqn(t) = 

ic = y(0) == 1

ic = 

sol = dsolve([eqn, ic])

sol = 

fplot(sol, [0 2])

[jameslk]

thank you so much :)