Was that your own idea or did someone suggest it to you? You'll have to make up your own mind (= decide by yourself) what you want to do. I'd never have believed it if I hadn't seen it with my own eyes / heard it with my own ears. "Is that your mom's car?" "No, it's my own (= it belongs to me)."
Yourself stresses that YOU (personally), as opposed to others, can be the agent of that choice. By yourself / on your own stresses more that you make this choice alone, without help from others. So although the meanings may slightly overlap, the terms are not interchangeable. Your sentence is about receiving a given topic as opposed to the possibility to choose that topic personally (the idea ...
pronouns - Yourself vs By yourself/On your own - English Language ...
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