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awfawef
Group Title
*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)
 8 months ago
 8 months ago
awfawef Group Title
*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)
 8 months ago
 8 months ago

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

myininaya Group TitleBest ResponseYou've already chosen the best response.1
ok 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
 8 months ago

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

awfawef Group TitleBest ResponseYou've already chosen the best response.0
c= 0 for the second question?
 8 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
You 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?
 8 months ago

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

awfawef Group TitleBest ResponseYou've already chosen the best response.0
yes that's what i did
 8 months ago

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

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

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

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

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

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

awfawef Group TitleBest ResponseYou've already chosen the best response.0
ok so y=x/4
 8 months ago

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

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

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

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

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Like 1=(4)/4
 8 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
ohh i get it now
 8 months ago

awfawef Group TitleBest ResponseYou've already chosen the best response.0
thanks a lot!!
 8 months ago

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

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

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

awfawef Group TitleBest ResponseYou've already chosen the best response.0
thanks a lot again!!!
 8 months ago

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