document.write( "Question 1199306: Question\r
\n" ); document.write( "\n" ); document.write( "(a) Determine whether the differential equation
\n" ); document.write( "ydx - xdy =0 is exact:
\n" ); document.write( "(b) If not, convert it into an exact differential equation_ (c) Solve this differential equation.
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Algebra.Com's Answer #833197 by ikleyn(52776)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            Below is my note to the solution by  Edwin.\r
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document.write( "I  fully agree on how Edwin deduced equation \r\n" );
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document.write( "    \"int%28dy%2Fy%29\"\"%22%22=%22%22\"\"int%28dx%2Fx%29\"      (*)\r\n" );
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document.write( "But what follows, should be corrected, because \r\n" );
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document.write( "    \"int%28dy%2Fy%29\" is not ln(y):  it is ln(|y|);    \"int%28dx%2Fx%29\" is not ln(x):  it is ln(|x|)\r\n" );
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document.write( "                            with y =/= 0;                            with x =/= 0.\r\n" );
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document.write( "Therefore, from (*) we have\r\n" );
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document.write( "    ln(|y|) = ln(|x|) + ln(C),  x =/= 0;  y =/= 0\r\n" );
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document.write( "    y = Cx,  with  x =/= 0,;  y =/= 0;  C may have any sign, positive or negative, except C = 0.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is with regret I see that Edwin (@mccravyedwin) ascribes to me what I did not say and did not write.\r
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\n" ); document.write( "\n" ); document.write( "                        Edwin,  it is a prohibited way to make a discussion.\r
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\n" ); document.write( "\n" ); document.write( "                            I said what I said,  and what  I  said was right.\r
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