Mathematics
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OpenStudy (anonymous):
find d^2(y)/d(x^2) in terms of x and y (second derivative)
1-xy=x-y
13 years ago
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OpenStudy (anonymous):
\[1(\frac{ dy }{ dx })-(x)\frac{ dy }{ dx}+\frac{ dx }{dx }y=\frac{ dx }{ dx }-\frac{ dy }{ dx }\]
tell me how this looks it's been a while since I differentiated with this method.
13 years ago
OpenStudy (anonymous):
this would be the setup to solve for the first derivative
13 years ago
OpenStudy (anonymous):
y=-1 & y"=0
13 years ago
OpenStudy (anonymous):
mother of god...
13 years ago
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OpenStudy (anonymous):
how did u get the second derivative?
@mahmit2012
13 years ago
OpenStudy (anonymous):
-( x*y' + y) = 1 -y'
13 years ago
OpenStudy (anonymous):
solve for y'
13 years ago
OpenStudy (anonymous):
differentiate the expression again
13 years ago
OpenStudy (anonymous):
I didn't do the second derivative yet. just do the first then repeat.
13 years ago
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OpenStudy (anonymous):
if you get another y' in your expression for y"
sub.s in your result from the first differentiation...
13 years ago
OpenStudy (anonymous):
Does that make sense?
13 years ago
OpenStudy (anonymous):
y=-1 y"=0 why you did not pay attention!
13 years ago
OpenStudy (anonymous):
x#1
13 years ago
OpenStudy (anonymous):
i got y' is -y-1/x-1
then i tried doing quotient rule and thne i got confused
13 years ago
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OpenStudy (anonymous):
you fail at math @mahmit2012
13 years ago
OpenStudy (anonymous):
k
13 years ago
OpenStudy (anonymous):
you got y' right
13 years ago
OpenStudy (anonymous):
every body sleeping !! cool
13 years ago
OpenStudy (anonymous):
yeah -y-1/x-1
13 years ago
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OpenStudy (anonymous):
now, f = ( -y-1) g = (x-1)
(f/g)' = f'g -fg'/g^2
f' = -y'
g' = 1
g^2 = (x-1)^2
13 years ago
OpenStudy (anonymous):
plug them in and use the result from the first diff. : y' = -y-1/x-1
to sub.s in for y'
13 years ago
OpenStudy (anonymous):
find y=-1 it's so easy !!!
13 years ago
OpenStudy (anonymous):
got it @blackrose636 ?
13 years ago
OpenStudy (anonymous):
how did u even get y=-1?
13 years ago
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OpenStudy (anonymous):
gl @Callisto
13 years ago
OpenStudy (anonymous):
y-xy=x-1
so y=-1 for all x#1
13 years ago
OpenStudy (anonymous):
@Algebraic! did you get it !
13 years ago
OpenStudy (callisto):
Ah...
1 - xy = x-y
y-xy = x-1
y (1-x) = x-1
y = (x-1) / (1-x)
y=-1!
13 years ago
OpenStudy (anonymous):
Thank you @Callisto
13 years ago
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OpenStudy (anonymous):
this is different seeing !
13 years ago