Suppose and . At the particle is at . Determine…

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

Suppose dxdt=t2−1\dfrac{dx}{dt}=t^{2}-1 and dydt=2x(t)\dfrac{dy}{dt}=2x(t). At t=0t=0 the particle is at (1,3)(1,3). Determine y(t)y(t).

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