document.write( "Question 1165588: In the given equation below, α is the value that will make the equation exact. Find 2α - α^2.
\n" ); document.write( "2xy^3 - 3y - (3x + αx^2y^2 - 2αy) y’ = 0 \n" ); document.write( "

Algebra.Com's Answer #790109 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "M(x,y)=2xy³-3y \r\n" );
document.write( "N(x,y)=-3x-αx²y²+2αy\r\n" );
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document.write( "∂M/∂y = 6xy²-3\r\n" );
document.write( "∂N/∂x = -3-2αxy²\r\n" );
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document.write( "These will be equal and the differential equation will be exact iff:\r\n" );
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document.write( "-2α = 6\r\n" );
document.write( "  α = -3\r\n" );
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document.write( "I guess you didn't want to solve the exact differential equation.\r\n" );
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document.write( "2α-α² = 2(-3)-(-3)² = -6-(9) = -15\r\n" );
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document.write( "Edwin

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