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 9 months ago
*Solve the differential equation dy/dx=x/16y.
*Find the equation of the solution through the point (x,y)=(−4,1).
*Find the equation of the solution through the point (x,y)=(0,−4). Your answer should be of the form y=f(x)
 9 months ago
*Solve the differential equation dy/dx=x/16y. *Find the equation of the solution through the point (x,y)=(−4,1). *Find the equation of the solution through the point (x,y)=(0,−4). Your answer should be of the form y=f(x)

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awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0I already solved the first part. C=8y^2 (x^2/2)

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1ok replace your x and y with 4 and 1 respectively to find the C so that your graph for your equation will go through that point

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0so y=sqrt((x^2/16) + c) and i plugged in (4,1) and got y=sqrt((x^2/16) is that correct?

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0c= 0 for the second question?

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1You have \[C=8y^2\frac{x^2}{2}\] Replace x with 4 and y with 1 like this: \[C=8(1)^2\frac{(4)^2}{2}\] Is this what you did to solve for C?

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1\[C=8\frac{16}{2}=88=0\]

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1I can't do arithmetic somethings lol But you have \[0=8y^2\frac{x^2}{2} \]

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1that is the equation satisfying the point (4,1)

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0hmm it the system doesn't seem to accept it.. it says it isn't a linear equation

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0doesn't that mean i have to solve for y=...

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1Your differential equation was: \[\frac{dy}{dx}=\frac{x}{16y} \text{ \right ?} \]

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1Ok solve for y make sure you keep in mind we want to go through the point (4,1)

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0but it still doesn't work??

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0oh wait y=x/4 works!!

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1We wanted y=x/4 That is why I said to keep in mine we want it going through (4,1) :)

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1The equation y=x/4 doesn't satisfy the point (4,1) but y=x/4 does

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0i'm going to do the last part now

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0c=128 for the last part right?

awfawef
 9 months ago
Best ResponseYou've already chosen the best response.0oh i got the last part too!!

myininaya
 9 months ago
Best ResponseYou've already chosen the best response.1yes C=128 for the last one
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