Differential equations

[FlatAssembler]

So, in my university mathematics textbook, there is a series of tasks such as:

So, the variables can be separated, however, in order to solve the equation, you apparently need to solve an integral such as:

And that integral, as far as I know, can't be solved. Do you have any idea how to solve such equations?

Matlab, Maple, Mathematica, and Derive are some software packages that you can try out.

I've tried asking Wolfram Alpha, which is, as far as I know, even more powerful than any of those things, and it doesn't give me any useful answer