# Autonomous Differential Equation

## Homework Statement

solve the following...

dy/dt= 0.5(100-y) with initial condition:y(0)=20

## The Attempt at a Solution

i found the general equation to be I=0.5Ln |100-y|+c
but im stuck as to what to do with the initial condition....

berkeman
Mentor

## Homework Statement

solve the following...

dy/dt= 0.5(100-y) with initial condition:y(0)=20

## The Attempt at a Solution

i found the general equation to be I=0.5Ln |100-y|+c
but im stuck as to what to do with the initial condition....

What's "I"?

And you are saying that 0.5 * ln |100-y| + c is some kind of a solution to this DE?

$$\frac{dy}{dt} = \frac{100-y}{2}$$

yes i think its the general equation....

Dick