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Question: Can Maple solve this integral equation?

Question:Can Maple solve this integral equation?

nm 8552
differential-equations integro-differential-equation
October 22 2013
1

Why can't Maple solve this integral equation using intsolve? May be my error entering it?

sys:= diff(y(t),t)=2-t^2/2 - 1/4 * int(y(t1),t1=0..t);
intsolve(sys,y(t));

Error, (in unknown) invalid input: diff received 0, which is not valid for its 2nd argument

I solve it by hand, and wanted to verify the solution. I get y(t)=C* sin(t/2) -4*t and C can be found to be 12
 
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