<PRE><B>Question 1142505</B>
.
&lt;pre&gt;

{{{(dy)/(dx)}}} = A*e^x - B*sin(x)


is the differential equation you are looking for.
&lt;/pre&gt;


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&lt;U&gt;Side note&lt;/U&gt;.  &amp;nbsp;&amp;nbsp;This fragment of the post  &amp;nbsp;&quot;. . . by eliminating the arbitrary constants&quot;  &amp;nbsp;&lt;U&gt;MAKES &amp;nbsp;NO &amp;nbsp;SENSE&lt;/U&gt;.


The correct formulation is &amp;nbsp;&lt;U&gt;THIS&lt;/U&gt; :


&lt;pre&gt;
    For the given function  y =  Ae^x + Bcosx,  form a differential equation.
&lt;/pre&gt;


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You posted a series of posts with similar / (identical) passage.


I INSISTENTLY recommend you to RE-POST all these problems by EDITING them CORRESPONDINGLY.



</PRE>