document.write( "Question 963816: please solve the differential equation :\r
\n" ); document.write( "\n" ); document.write( "dy/dx*tany = sin(x+y) +sin(x-y) \n" ); document.write( "

Algebra.Com's Answer #588819 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28dy%2Fdx%29%2Atany+=+sin%28x%2By%29+%2Bsin%28x-y%29\"$
\n" ); document.write( " $\"%28dy%2Fdx%29%2Atany+=+2sin%28x%29cos%28y%29\"$
\n" ); document.write( " $\"%28sin%28y%29%2Fcos%5E2%28y%29%29dy=2sin%28x%29dx\"$
\n" ); document.write( "Use a substitution,
\n" ); document.write( " $\"z=cos%28y%29\"$
\n" ); document.write( " $\"dz=-sin%28y%29%2Ady\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"-dz%2Fz%5E2=2sin%28x%29dx\"$
\n" ); document.write( " $\"1%2Fz=-2cos%28x%29%2BC\"$
\n" ); document.write( " $\"1%2Fcos%28y%29=-2cos%28x%29%2BC\"$
\n" ); document.write( " $\"highlight%28sec%28y%29=C-2cos%28x%29%29\"$ \r
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