Hello, I'm a newbie when it comes to differential equations and my professor assigned some problems that we never went over in class. Hopefully someone can help...

y' = 2y; y(x) = Ce^(2x), y(0) = 3.

Here are the directions: First verify that y(x) satisfies the given differential equation. Then determine a value of the constant C so that y(x) satisfies the given initial condition.

I have to do about 10 of these, so if anyone could go through the steps on how to solve this, I will greatly appreciate it. Thanks for your time...