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
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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) (Show Source): You can put this solution on YOUR website!
It cannot be , because the slope field is defined for negative values of x and y.
It cannot be , because the slopes in the 1st quadrant are negative (or the tangents are falling from left to right.)
It cannot be , because this would make the slopes on the y-axis non-zero. (The slopes on the y-axis are 0.)
But the DE would satisfy qualitatively all the conditions as illustrated in the slope field.
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