How can I solve this 2nd degree differential equation?

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SUMMARY

The discussion focuses on solving the second-degree differential equation X'' - (F0 / (d * m)) * X = 0, where d, m, and F are known constants. Participants confirm that the solution involves trigonometric functions, specifically noting the importance of the negative sign in the equation. A suggested method for solving the equation is to multiply through by X', which can lead to further simplification. The conversation emphasizes the necessity of providing an attempt at a solution to facilitate better assistance.

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Kosta1234
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Homework Statement


Hello.
I'm trying to do some problem and I can't solve some differential equation from the 2nd degree:

X'' - (F0 / ( d * m)) * X = 0

d, m, F are constant that are known

Homework Equations


I know that solution is a trigonometry equation. But I want to see how to solve this..

The Attempt at a Solution

Thanks.
 
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Kosta1234 said:
solution is a trigonometry equation
Not with that minus sign.*
One way to solve this is to multiply through by X'. Can you see how to proceed from there?

*Edit: unless you meant hyper trig.
 
Kosta1234 said:

The Attempt at a Solution

You have to provide an attempt at a solution. Please show what you have tried so far.
 

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