Austin's Practice Problems

Solve φ_t = a²φ_xx + w(x, t) on 0 < x < ℓ with φ(x, 0) = f(x) by expanding in the eigenfunctions of β″ + λβ = 0, β(0) = β′(ℓ) = 0

Exercise 1.6.2(a)

Handwritten solution, page 1 of 3. Solve φ_t = a²φ_xx + w(x, t) on 0 < x < ℓ with φ(x, 0) = f(x) by expanding in the eigenfunctions of β″ + λβ = 0, β(0) = β′(ℓ) = 0Handwritten solution, page 2 of 3. Solve φ_t = a²φ_xx + w(x, t) on 0 < x < ℓ with φ(x, 0) = f(x) by expanding in the eigenfunctions of β″ + λβ = 0, β(0) = β′(ℓ) = 0Handwritten solution, page 3 of 3. Solve φ_t = a²φ_xx + w(x, t) on 0 < x < ℓ with φ(x, 0) = f(x) by expanding in the eigenfunctions of β″ + λβ = 0, β(0) = β′(ℓ) = 0
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