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Question: How to replace an integral inside pde?

Question:How to replace an integral inside pde?

salim-barzani 1660 Maple 2024
integral substitution pde differential-equations
October 11 2025
1

i don't know how replace the function which remove the sign of integral even i know the author replaced by sin(t) and t and combined them like the picture but i don't know why my pdes not give me zero 

h-pde-M.mw
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