Calculus - 2nd order differential equations and partial derivatives

Attached file has 4 questions to answer. I have attempted these but would appreciate seeing someone else attempt them before I submit. Must show all working please.

Ordinary Differential Equations Calculus Derivatives
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Matchmaticians Calculus - 2nd order differential equations and partial derivatives File #1 File #1 (pdf)
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Mathe Mathe
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