Find the solution: So far I have: Plug the and into the equation to get: No matter what I do, I'm just going in circles. I can't seem to get the variables separated.
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Originally Posted by ahhh Find the solution: So far I have: Plug the and into the equation to get: No matter what I do, I'm just going in circles. I can't seem to get the variables separated. and So the integrating factor is This is now an exact equation so we get Now taking the partial with respect to y we get but this must equal so is an implicit solution
I'm sorry, but I don't understand the process. In my class, the only way we have solved differentials so far is to use and .
Originally Posted by ahhh Find the solution: So far I have: Plug the and into the equation to get: No matter what I do, I'm just going in circles. I can't seem to get the variables separated. ummm sorry lets try this again... simplifying I hope this helps...
Originally Posted by TheEmptySet ummm sorry lets try this again... simplifying I hope this helps... Thank you so much! I couldn't seem to get the variables separated.
So it should be I'm not worried about simplifying it because I am liable to mess up doing algebra.
Originally Posted by ahhh So it should be I'm not worried about simplifying it because I am liable to mess up doing algebra. Just for fun and to note if we do simplify a little we can show that this is the same as the solution we got solving the exact equation Yay!!
Oh wait...dumb question, but how did you simplify into this
Originally Posted by ahhh Oh wait...dumb question, but how did you simplify into this Then I multiplied the whole equation by -1 to change it from a negative to a +.
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