MCQ/ A rod of length (L = 1), its lateral %3D surface insulated, so that heat flow can be defined as one - dimensional. It initially at uniform temperature (u = 100 c). The temperature at (t = 0) and at any time was (20 c) at the left end and (50 c) at the right end. Select the correct value of coefficient (c) for the following equations u(x,t)=bx+c+[A cos\x+B sinAx]e^-X²*t/a?

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A: I am attaching image so that you understand each and every step.

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A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions…

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Q: xydx – (x² + 2y²)dy = 0 ||

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Q: Use​ Euler's method with step size h​ = 0.2 to determine value of y.

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A: For the solution follow the next step.

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Q: Q3: Find the general solution for the following Deferential Equations using Variation of Parameters…

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Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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