Question

solve the seperable equation:
dx/dt=3xt^2

Answer 1

this is a first-order linear ordinary differential equation, and the differential equation solution is x(t) = c_1 e^(t^3)

Answer 2

Separating variables:

dx / x = 3t^2 dt

Now integrate both sides and you have

ln x = t^3 + C

Thus ....

Answer 3

thank you very much!

Answer 4

jamesj, got a second?

Answer 5

sure ... chat?

Answer 6

ok

Answer 7

ln(x)=t^3+C
or x=Cexp(t^3)