SOLUTION: Which of the following differential equations has the slope field below? http://i64.tinypic.com/30if3lv.jpg dy/dx=x - y dy/dx=square root(y) - square root(x) dy/dx= - x

Algebra ->  Finance -> SOLUTION: Which of the following differential equations has the slope field below? http://i64.tinypic.com/30if3lv.jpg dy/dx=x - y dy/dx=square root(y) - square root(x) dy/dx= - x       Log On


   

Question 1030623: Which of the following differential equations has the slope field below?
http://i64.tinypic.com/30if3lv.jpg
dy/dx=x - y
dy/dx=square root(y) - square root(x)
dy/dx= - x * y
dy/dx=(2x)/y
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
It cannot be dy%2Fdx=sqrt%28y%29+-+sqrt%28x%29, because the slope field is defined for negative values of x and y.
It cannot be dy%2Fdx=+%282x%29%2Fy, because the slopes in the 1st quadrant are negative (or the tangents are falling from left to right.)
It cannot be dy%2Fdx=+x+-+y, because this would make the slopes on the y-axis non-zero. (The slopes on the y-axis are 0.)
But the DE dy%2Fdx=+-+xy would satisfy qualitatively all the conditions as illustrated in the slope field.