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

calcific5z

calcific5z

Answered question

2022-09-11

How do you find all solutions of the differential equation d 2 y d x 2 = 0 ?

Answer & Explanation

Peyton Cox

Peyton Cox

Beginner2022-09-12Added 18 answers

This is a Second Order homogeneous DE with constant coefficients, but separable so we can just integrate (twice):
d 2 y d x 2 = 0
Integrate:
d y d x = A
Integrate again:
y = A x + B
which is the General Solution

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