2 questions multiple parts must show all your work

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I have 2 questions that I need ALL work shown! It’s advanced mathematics so I need someone who knows what they are doing! (BVPs, differential equations) I WILL SEND THE 2 QUESTIONS DIRECTLY TO THE TUTOR!!! This is college level and advanced, please note that it’s not beginner friendly and you cannot get the answers online. Thanks.

*Total of 2 questions multi-part. Due in roughly 2 hours!!*