2. Consider the heat equation du k- for 0 < x < L, and t > 0 with the boundary conditions u(0, t) = 0 and u(L, t) = 0, for t> 0. Solve for the following initial value conditions: a) f(x) = 4 sin (9ra L 1 b) f(x) = x € (0, L/2] x € (L/2, L)

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Q: [23] R and f 5 sec(t) 0

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Q: S2-3x', x>2 Vx -2, х <2 а) g(x)-

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Q: 1. y"+y'-6y= -10-

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Q: 9. Which of the following equations are separable? Write those that are separable in the form y' =…

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