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Morin classical mechanics differential equation problem
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[QUOTE="ChiralSuperfields, post: 6829053, member: 731016"] [B]Homework Statement:[/B] Please see below [B]Relevant Equations:[/B] 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: [ATTACH type="full" alt="1670386433801.png"]318340[/ATTACH] 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. [ATTACH type="full" alt="1670386779900.png"]318341[/ATTACH] However, if we do use definition of the position, [ATTACH type="full"]318342[/ATTACH] Many thanks! [/QUOTE]
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Morin classical mechanics differential equation problem
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