A conducting bar of uniform cross-section lies along the x-axis, with its ends at x = 0 and x = 1. The lateral surface is insulated. There are no heat sources within the body. The ends are also insulated. The initial temperature is lx-x².0sxsl. Find the temperature distribution in the bar for 1>0.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.