I was trying to simulate a physical system which lead me to this equation. I don't know if it has any solution or not, but I guess you guys can help me find the answer. $$v'(t) = a + s * \frac{v(t)}{|v(t)|}$$ in which t is an scalar variable, s is an scalar constant and a is a vector with same dimensions as v(t) (either 2D or 3D)
solution for ODE problem
2
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ordinary-differential-equations
physics
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1If $s$ and $v$ are vectors, what kind of a product does $*$ denote? The only product that produces a vector from two vectors is the cross product, but that's usually not denoted by $*$, and also that wouldn't work in two dimensions. – 2012-08-27
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0I believe $s$ is not a vector. – 2012-08-27
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0@joriki s was an scalar constant as tunococ suggested, I've fixed the question. – 2012-08-28