document.write( "Question 1132326: How to solve (x-y)^2 dy = a^2 dx by separation method?
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Algebra.Com's Answer #749367 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28x-y%29%5E2%2Ady+=+a%5E2%2Adx\"\r\n" );
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document.write( "let x-y = z\r\n" );
document.write( "      x = y+z\r\n" );
document.write( "     dx = dy+dz\r\n" );
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document.write( "\"z%5E2%2Ady+=+a%5E2%2A%28dy%2Bdz%29\"\r\n" );
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document.write( "\"z%5E2%2Ady+=+a%5E2%2Ady%2Ba%5E2%2Adz%29\"\r\n" );
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document.write( "\"z%5E2%2Ady+-+a%5E2%2Ady=a%5E2%2Adz%29\"   \r\n" );
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document.write( "\"%28z%5E2-a%5E2%29%2Ady+=+a%5E2%2Adz\"\r\n" );
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document.write( "\"dy+=+%28a%5E2%2Adz%29%2F%28z%5E2-a%5E2%29\"\r\n" );
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document.write( "\"int%28%22%22%2Cdy%29+=+a%5E2%2Aint%28+%28dz%29%2F%28z%5E2-a%5E2%29+%29\"\r\n" );
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document.write( "\"y=a%5E2%2Aexpr%281%2F%282a%29%29ln%28%28z-a%29%2F%28z%2Ba%29%29%2BC\"\r\n" );
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document.write( "\"y=a%2Aexpr%281%2F2%29ln%28%28z-a%29%2F%28z%2Ba%29%29%2BC\"\r\n" );
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document.write( "Since z = x-y\r\n" );
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document.write( "\"y=expr%28a%2F2%29ln%28%28x-y-a%29%2F%28x-y%2Ba%29%29%2BC\"\r\n" );
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document.write( "Edwin

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