- #1

Callumnc1

- 330

- 39

- Homework Statement:
- Please see below

- Relevant Equations:
- d^2x/dt^2 = dv/dt = a

I was reading the oscillations chapter which was talking about how to solve linear differential equations. He was talking about how to solve the second order differential below, where a is a constant:

In the textbook, he solved it using the method of substitution i.e guessing the solution. However, how would we solve this differential equation using the method of separation of variables?

I tried solving it using the definition of acceleration, however, I don't think you can do that since v is the derivative of x.

However, if we do use definition of the position,

Many thanks!

In the textbook, he solved it using the method of substitution i.e guessing the solution. However, how would we solve this differential equation using the method of separation of variables?

I tried solving it using the definition of acceleration, however, I don't think you can do that since v is the derivative of x.

However, if we do use definition of the position,

Many thanks!

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