I am very rusty and so out of university.
d2Theta - mB I-1 Theta
The above is a restoring torque equation of a dipole in a magnetic field.
What is the above and how do I solve it? I'd be glad to solve for d Theta / d t.
Would appreciate advise.
A "D. E.", or "differential equation", is any equation which involves derivatives of an unknown function. Yes, this is a differential equation. It is, in fact, a "second order linear differential equation with constant coefficients" which are comparatively simple. Here, the differential equation is . It's "characteristic equation" is which has roots . The general solution to the differential equation is where and are constants that can be determined by additional conditions.
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Just to wrap this one up: The general solution will be a function of theta & t. To know the constants C1 & C2, I need some initial/boundary value condition. If I have those, theta can be arrived at. Once arrived at, differentiating it w.r.t. t, will furnish my original requirement 'd theta/d t'.
Don't bother yourself with replying if my above understanding is more or less correct.
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