Consider the coupled system and

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the coupled system dxdt=3y\dfrac{dx}{dt}=3y and dydt=−2x\dfrac{dy}{dt}=-2x. Compute ddt(2x2+3y2)\dfrac{d}{dt}\bigl(2x^{2}+3y^{2}\bigr) in terms of xx and yy, and simplify your result.

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