We solve as before, and then use the given information to find the value of the unknown K.

Separate variables:

Integrating gives:

Now, when x = 0, y = 1; so we have:

So, on substituting this back into our previous equation:

Checking our solution: and so

Also, when x = 0, y = 3 − 2e⁰ = 1.

So the particular solution is given by: y = 3 − 2e^-2x