Q3. Consider the following boundary and initial conditions and solve the given partial differential equation using the separation of variables method a?u a2u 4 at2 %3D ax2 u(0, t) = 0 for t > 0 u(4, t) = 0 for t >0 au (x,0) for 0 Sxs4 %3D at u(x,0) = for 0SxS4 %3D

Q: Convert the following 2nd order IVP to a 1st order system IVP, by viewing y' as a second dependent…

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Q: v'(t) = 2t – v(t). a) Find v(t) for which v(0) = -2. b) Find the distance traveled after 2 seconds.

A:

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A: Please find attachment below

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A:

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A: 25. Given the differential equation is                                          dydx=y2(4-y2).

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.