How do you find all solutions of the differential equation #(d^2y)/(dx^2)=0#?

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Answer 1 · 2017-01-10T14:00:20

# y=Ax + B #

This is a Second Order homogeneous DE with constant coefficients, but separable so we can just integrate (twice):

# (d^2y)/(dx^2)=0 #

Integrate:

# (dy)/(dx)=A #

Integrate again:

# y=Ax + B #

which is the General Solution