Solving a first order differentiation equation

[Pouyan_1989]

Homework Statement

I got dizzy with strange solutions

Relevant Equations

y'(t) = k(M-y)

If we have this D.E:

from Latex :

if I try to solve it in this way:

My solution is :

Which is not correct

Another attempt :

that gives me :

What is wrong ?

I know I should write:

But why my integrations are wrong?

 

[Orodruin]

Because you have not done the integration correctly. If you do the integration correctly you will obtain the correct result.

 

[docnet]

You can do it!

Your second answer is very close. Try to show your work this time, so you can find where you might have made a small mistake in the $e$ term.

This isn't that important, but $A$ is an undetermined constant, so you'd write $A$ instead of $-A$ to simplify the answer as much as possible.

 

[Gavran]

@Pouyan_1989 your both answers are incorrect. To find where you are wrong it will be very useful if you show your work in more details.