Left In A Cage

(verse) In the realm of math, where numbers sway, A challenge stands, both night and day. With x and y, we start the play, Derivatives come, don’t stray, For we’ll solve this puzzle, come what may, in a grand and intricate ballet. (instrumental interlude) First, we spot the rate of change, A function’s slope, it may seem strange. dx, dy, in a range, A curve’s life we’ll arrange, (instrumental interlude) Until the terms align, and our solution is within range, and everything fits just like a perfect frame. (verse) Integration steps in, smooth and clear, Combining parts that we hold dear. Constants of C, they appear, An answer now is near, From chaos to order, it’s a journey we steer, until the solution is perfectly clear. (verse) Initial conditions, they set the stage, To pinpoint the path on the graph’s wide page. Solving for C, we engage, No term left in a cage, Equations untangled, like a sage in the age, revealing the truths as we carefully gauge. (verse) At last, we have it, the final form, A function that we can proudly inform. No more storms, just norms, In the world of math’s great swarm, The differential solved, standing strong in its dorm, where logic and reason perform, as the perfect norm. (fade out) (end)