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anonymous
 4 years ago
given y>0 and dy/dx=3x^2+4x/y. if the point (1,sqrt{10}) is on the graph relating x and y, then what is y when x=0?
anonymous
 4 years ago
given y>0 and dy/dx=3x^2+4x/y. if the point (1,sqrt{10}) is on the graph relating x and y, then what is y when x=0?

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myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2do you know to find y given y'?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2you have to integrate y' to get y

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2i didn't see that other y

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2is it \[y'=\frac{3x^2+4x}{y} ?\]

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2ok do you know separation of variables?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0quotient rule product rule ?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2\[\frac{dy}{dx}=\frac{3x^2+4x}{y}\] you want y so we need to integrate but before we do that we need to separate our y's from our x's

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2\[y dy=(3x^2+4x) dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh yes i know how to do that

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2i multiplied y on both sides and I multiplied dx on both sides now we need to integrate both sides

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2\[\int\limits_{}^{}y dy=\int\limits_{}^{}(3x^2+4x) dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0whats that long thing u just put

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2\[\frac{y^2}{2}=\frac{3x^3}{3}+\frac{4x^2}{2}+C\] whenever you integrate you need to do +C

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i havent learned that thing yet

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2what about finding the antiderivative?

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2do you know what that means?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i learned that friday

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2thats with weird symbol means

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but i dont think i can use that symbol yet

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2hmmm... that's weird to me

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0its fine i guess i should skip that problem and just ask the teacher 2morrow. ill put up a new one.

myininaya
 4 years ago
Best ResponseYou've already chosen the best response.2ok but that is all i did was found the antiderivative of both sides with respect to whatever varaible was in d( )

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh okay thanks either way :)
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