Where k is the thermal conductivity of its material, A is the cross sectional area and T=T(x) is the temperature distribution. For a. T(x) = tan(x) sec(x) + sin(x²), k=0.7 and A= 10 find Q at x=T/3. b. T(x) = Vxcos(4x) +, find Q at x = T/2. c. T(x) = x (**-cos(2x)). find Q at x = T/4. d. T(x) = 100e-3x + In(4x), k=470, A= 0.01r and x= 1/3;

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Q: 1. Find dy/dx which x = -1 y = 1/x arc tan 1/x  2. Find dy/dx which x = 1/e y= arc tan (ln x)

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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.