Find the differential equation whose solution corresponds to the following equat

Cem Hayes

Cem Hayes

Answered question

2021-09-12

Find the differential equation whose solution corresponds to the following equation.
y=αcos(x+β)

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2021-09-13Added 78 answers

Step 1
y=αcos(x+β)
So, y=αsin(x+β)
& y=acos(x+β)
Step 2
So, we have,
y" = - y
So, y" + y = 0
So, the differential equation is,
y" + y = 0
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-27Added 2605 answers

Answer is given below (on video)

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