Let b be a positive number. A differential equation of the form:
. . .dy/dt = py^(1 + b)
...where p is a positive constant, is called a doomsday equation because the exponent in the expression py^(1 + b) is larger than that for natural growth (that is, py).
Determine the solution that satisfies the initial condition.
Please help.
. . .dy/dt = py^(1 + b)
...where p is a positive constant, is called a doomsday equation because the exponent in the expression py^(1 + b) is larger than that for natural growth (that is, py).
Determine the solution that satisfies the initial condition.
Please help.