document.write( "Question 1196937: In the following differential equation, test for exactness and determine the solution:
\n" ); document.write( " $\"+%28xdy-ydx%29%2Fy%5E2=x%5E3dx+\"$
\n" ); document.write( "Answer: $\"+4x%2Bx%5E4y=Cy+\"$ \n" ); document.write( "

Algebra.Com's Answer #830018 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( " = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Left side is  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Right side is  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, your equation is\r\n" );
document.write( "\r\n" );
document.write( "     = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It implies\r\n" );
document.write( "\r\n" );
document.write( "     =  + C,    where  C = const.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that \r\n" );
document.write( "\r\n" );
document.write( "    4x + x^4*y = Cy.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "which is your answer.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );