Is my answer for this: right? I'm having a lot of trouble with this because of the "yy'" part. I know obviously what y' means but yy' confuses things. Any help? Could someone walk me through this? :/
Oh okay. So when I plug in (0,4) I get c=7? But I don't know how that relates to any of the options :/ I'm feeling really stupid right now. This question is just going over my head for some reason..
From romsek's $\displaystyle y\,dy=e^x\,dx$, when you integrate both sides you should get $\displaystyle \frac{1}{2}y^2=e^x+C$, and then, yes, C=7. So you have $\displaystyle \frac{1}{2}y^2=e^x+7$. Now multiply both sides by 2.
From romsek's $\displaystyle y\,dy=e^x\,dx$, when you integrate both sides you should get $\displaystyle \frac{1}{2}y^2=e^x+C$, and then, yes, C=7. So you have $\displaystyle \frac{1}{2}y^2=e^x+7$. Now multiply both sides by 2.