We started chapter 6 this week. We worked on what Cresswell referred to as "u-substitution on steroids" and also slope fields.

The "u-substitution on steroids" was just expanding on what we learned with u-substitution before but more tricky. I had trouble at first remembering how to do it correctly and then I had trouble figuring out what I should choose as my "u", but as my classmates helped me I started to get the hang of it myself.

Slope fields sound weird, and trust me, they are. It's almost reminded me of a morse code or something but Slope Fields weren't hard to understand. You just have to take whatever dy/dx equation you were given and plug in the value given and then you'd get your slope at that point. In the picture I have attached, we used the equation dy/dx= x. I drew my own slope field and because this was an easy equation, I didn't have to write down a table of values. This chapter has been good to me so far so I hope that continues and it will as long as I keep asking for help when I need it.




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