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 11 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)
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.0I already solved the first part. C=8y^2 (x^2/2)

myininaya
 11 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
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.0c= 0 for the second question?

myininaya
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.1\[C=8\frac{16}{2}=88=0\]

awfawef
 11 months ago
Best ResponseYou've already chosen the best response.0yes that's what i did

myininaya
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.1that is the equation satisfying the point (4,1)

awfawef
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.0doesn't that mean i have to solve for y=...

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

myininaya
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.0but it still doesn't work??

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

myininaya
 11 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
 11 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
 11 months ago
Best ResponseYou've already chosen the best response.0i'm going to do the last part now

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

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

awfawef
 11 months ago
Best ResponseYou've already chosen the best response.0thanks a lot again!!!

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