http://www.mapleprimes.com/questions/143413-Declaring-An-Identity-Of-An-Unknown en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 09:30:07 GMT Tue, 09 Jun 2026 09:30:07 GMT The latest answers and comments added to the Question, Declaring an identity of an unknown function in Maple... http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/143413-Declaring-An-Identity-Of-An-Unknown http://www.mapleprimes.com/questions/143413-Declaring-An-Identity-Of-An-Unknown?ref=Feed:MaplePrimes:Declaring an identity of an unknown function in Maple...:Comments#answer143416 <p>&gt; ode := diff(y(x), x, x)+y(x)-y(x)^3:<br>&gt; eqns := diff(y(x), x, x) = -y(x)+y(x)^3:<br>&gt; applyrule(eqns, ode);<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0<br>&gt; simplify(ode, {eqns});<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0</p> <p>See <a href="http://www.maplesoft.com/support/help/search.aspx?term=applyrule">?applyrule</a> and <a href="http://www.maplesoft.com/support/help/search.aspx?term=simplify,siderels">?simplify,siderels</a> for more info.<br><br></p> <p>&gt; ode := diff(y(x), x, x)+y(x)-y(x)^3:<br>&gt; eqns := diff(y(x), x, x) = -y(x)+y(x)^3:<br>&gt; applyrule(eqns, ode);<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0<br>&gt; simplify(ode, {eqns});<br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0</p> <p>See <a href="http://www.maplesoft.com/support/help/search.aspx?term=applyrule">?applyrule</a> and <a href="http://www.maplesoft.com/support/help/search.aspx?term=simplify,siderels">?simplify,siderels</a> for more info.<br><br></p> 143416 Wed, 13 Feb 2013 01:01:47 Z Markiyan Hirnyk Markiyan Hirnyk