- #1
Cheruby
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The equation is:
x2 dy/dx= y - xy
IC (initial conditions): y(-1) = -1 (This is used to solve for C)
Must first separate the variables x and y and then integrate them and solve for y, but I got stuck...
x2dy = (y - xy)dx
x2dy = y(1-x)dx
dy= y(1-x)dx/x2 <-- not sure what to do with the y now... I figure I could divide everything by y so I could bring it to the left side but the right side would have dx/y
The answer is y = e-(1+1/x)/x
x2 dy/dx= y - xy
IC (initial conditions): y(-1) = -1 (This is used to solve for C)
Must first separate the variables x and y and then integrate them and solve for y, but I got stuck...
x2dy = (y - xy)dx
x2dy = y(1-x)dx
dy= y(1-x)dx/x2 <-- not sure what to do with the y now... I figure I could divide everything by y so I could bring it to the left side but the right side would have dx/y
The answer is y = e-(1+1/x)/x
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