maths
posted by xX_Supaman_Xx on .
how would i solve the differential equation
dx/dt=kx^2
i.e. solve for x as a function of t.
I've been told to rearrange the equation to yield
dx/x^2=k dt
but what can and should I do now?

integral of x^n dx = (1/(n+1)) x^(n+1) in general
integral of x^2 dx = (1/1) x^1
which is( 1/x ) + constant of integration
the right side is k t + constant of integration
1/x = k t + c
x = 1/ (kt+c)
undefined when kt = c