document.write( "Question 1030623: Which of the following differential equations has the slope field below?\r
\n" ); document.write( "\n" ); document.write( "http://i64.tinypic.com/30if3lv.jpg\r
\n" ); document.write( "\n" ); document.write( " dy/dx=x - y
\n" ); document.write( " dy/dx=square root(y) - square root(x)
\n" ); document.write( " dy/dx= - x * y
\n" ); document.write( " dy/dx=(2x)/y \n" ); document.write( "

Algebra.Com's Answer #645794 by robertb(5830) $\"\"$ $\"About$

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It cannot be $\"dy%2Fdx=sqrt%28y%29+-+sqrt%28x%29\"$ , because the slope field is defined for negative values of x and y.\r
\n" ); document.write( "\n" ); document.write( "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.)\r
\n" ); document.write( "\n" ); document.write( "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.)\r
\n" ); document.write( "\n" ); document.write( "But the DE $\"dy%2Fdx=+-+xy\"$ would satisfy qualitatively all the conditions as illustrated in the slope field. \n" ); document.write( "

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