Given: dp/dt = k(m- p)
where p(t) measures the performance of someone learning a skill after a training time t, m is the maximum level of performance, and k is a positive constant. solve this differential equation to find an expression for p(t). (use p for p(t). assume that p(0) = 0.)

Step-by-step explanation:

The relation between the variables is given by

This is a separable differential equation. Rearranging terms:

Multiplying by -1

Integrating

Where D is a constant. Applying expoentials

Where , another constant

Solving for P

With the initial condition P=0 when t=0

We get C=-M. The final expression for P is

Keywords: performance , learning , skill , training , differential equation

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!