Miscellaneous Solutions and Posts

Derivative:

(1/a)arctan(x/a) Derivate Walkthrough and Proof

Differential Equation:

y''+16y=0

e^(y)y'=e^(2y)+4e^(y)+13

Floor Function Proof:

⌊x+y⌋=⌊x⌋+y

Linear Algebra Done Right proof:

Axler Linear Algebra Done Right Section 7.D Exercise 10

Number Theory problem from Burton:

Prove that no integer in the following sequence is a perfect square.