Describe in further detail a differential equation problem that has previously been solved but still has to be finished in a research paper.

Describe in further detail a differential equation problem that has previously been solved but still has to be finished in a research paper.

READ THE NOTE
Note: In all questions the parameter k must be replaced by 4

if you find a solution in an explicit form, add a note.

I have completed the rest of the solving but am stuck at the end of the part
in the end we need to find the explicit form base on the question
i will share you my work all i need is you to complete the problem

if you are confused i will provide you other file that containt differenet question but the exact steps and style the one that you will solve

the one that i need you to solve is in the image and check the word file incomplete answer i have solved the rest

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