Initial temperature distribution f(x)=cos^2(4Ttx) in a bar of length L=2cm with completely insulated circumference and two ends. Determine the temperature distribution in the bar as a function of time and location. (a=1/3cm2/s) a. T(z,t) =+.Cos(47. z). ezp() O. T(z,t) =+ Cos(8x. 2). ezp(-) c T(z,t) =+.Cos(4r.2).ezp() d. T(z,t) =-Cos(4x. z). ezp() e T(z,t) = -1.Cos(8r. 2). ezp(=)

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A:

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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.