Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

dy/dx = 1/x^2 + x, x>0,y(2) = 1

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?

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

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

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

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.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!