Q2) Classify the following system of first-order partial differential equations (y=const.): aw = u aw ди ди +Y ax at = y?w Which second-order pde would this first-order svstem correspond to 2 (Hint: Damped wave eguation or special case of the Telegrapher equation).

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A: see below the calculation and explanation

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Q: consider the initial value problem (3,0227 y+25y=20,+7 410)=9.41(0)=0 1

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Q: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

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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.