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  _____      ___               __   __   ______   
 / ____||   / _ \\    ____     \ \\/ // |      \\ 
/ //---`'  | / \ ||  |    \\    \ ` //  |  --  // 
\ \\___    | \_/ ||  | [] ||     | ||   |  --  \\ 
 \_____||   \___//   |  __//     |_||   |______// 
  `----`    `---`    |_|`-`      `-`'   `------`  
                     `-`

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Text this: On a class of equations induced by a nilpotent operator and its applications