# Questions tagged [differential-equations]

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### Spinning mass around Spring with gravity

I've seen similar posts, but none in which a mass rotates vertically while connected to a spring, with gravity acting on the mass. I want to know if the path of the mass can be described with ...
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### A least principle action and human behaviour [closed]

Does anyone have an idea how the authors of this paper https://www.nature.com/articles/s41598-021-81722-6#additional-information solved the equation 10? Thank you in advance
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### Time taken for a rocket to travel upwards [closed]

My doubt is a rather silly, simple one but i cant seem to understand what's wrong. Let's assume a rocket is moving up with a constant acceleration of a, is moving strictly vertically(no gravity turns, ...
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### Solutions of Laplace's equation for stream functions in cylindrical coordinates [closed]

I was reading Fluid Mechanics by Richard Fitzpatrick. Somewhere in the book, he tried to solve inviscid flow past a semi-infinite wedge https://farside.ph.utexas.edu/teaching/336L/Fluidhtml/node76....
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For any $\epsilon >0$, consider the following harmonic oscillator with $m= \hbar =1$: \frac{\partial}{\partial t}\psi(x,t)= -\frac{1}{2}\Delta \psi+ \frac{\epsilon}{2}x^2 \psi \end{...