Mathematics
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OpenStudy (anonymous):
dy/dx = 1/x^2 + x, x>0,y(2) = 1
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OpenStudy (anonymous):
this looks like a separable equation, what class is it?
OpenStudy (anonymous):
calculus
OpenStudy (anonymous):
ok it looks like your going to have to integrate here because you only have the value for y
OpenStudy (anonymous):
yeah i know i got y = -1/x + x^2/2 + c
OpenStudy (anonymous):
then i just make y 2 and set it to 0?
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OpenStudy (anonymous):
close. you have value for y and x, find c
OpenStudy (anonymous):
y(2)=1, if y=1, what does x =?
OpenStudy (anonymous):
1? not sure what u mean
OpenStudy (anonymous):
if your given a function, f(x)=2x, what is f(3)
OpenStudy (anonymous):
6
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OpenStudy (anonymous):
Sweet, so whats x?
OpenStudy (anonymous):
2
OpenStudy (anonymous):
aw close its 2*x but x isnt 2, x is what use put in the function to find 6
OpenStudy (anonymous):
-1/2 and 2?
OpenStudy (anonymous):
oh that ffuction would be 3
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OpenStudy (anonymous):
thought u were talking about the first
OpenStudy (anonymous):
nice then whats y and x in y(2)=1
OpenStudy (anonymous):
-1/x + x^2/2 + c ?
OpenStudy (anonymous):
ok dude if y=1 and x=2, and y=-1/x+x^2/2+c, find "c"
OpenStudy (anonymous):
did u see my first comment u,y
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OpenStudy (anonymous):
where is it?
OpenStudy (anonymous):
2nd and 3rd comment
OpenStudy (anonymous):
ok but y isnt 2 its 1 and x is 2, and you need to find c
OpenStudy (anonymous):
-1/x+x^2/2-1/2, there you go buddy. c is -1/2 according to your integration.