- #1

alexis36

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## Homework Statement

The question is discussing the growth rate of a tumor as it decreases in size (called the Gompertz equation: I am needing so SOLVE THE SEPERABLE DIFFERENTIAL EQUATION.

## Homework Equations

dx/dt = f(t)g(x) =(e^-t)(x(t)) x(o)=1

## The Attempt at a Solution

1. I am separating variables, (i think I am making a mistake here)

dx/dt=(e^-t)x(t)

dx/x(t)=(e^-t)(dt)

.. is that step right?

2. then i integrate both sides.

integrating 1/x(t) on one side.. and integrating e^-t(dt) on the other.. i get

ln|x|= -e^-t + c

.. now I am unsure as to how to solve the rest. am i solving for a variable for c?