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Mastering Equations (au Year 2 - B) | Fun Learning Quest for

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au-silo-au-grade-2-mathematics-number-and-algebra-equations-mastering-equations-au-year-2-b-exam

✨ Magical Challenges ✨

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Q1

Which of the following is the general solution to the differential equation y'' - 4y' + 4y = 0?

Q2

Consider the partial differential equation (PDE) ∂u/∂t = ∂²u/∂x². If u(x, 0) = sin(πx) and u(0, t) = u(1, t) = 0, what is the solution for u(x, t)?

Q3

What is the integrating factor for the first-order linear differential equation dy/dx + P(x)y = Q(x)?

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