Refer to page 128 for the heat equation problem. Solve the one-dimensional heat equation with the given initial and boundary conditions. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Use Fourier series or other appropriate methods.
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- Refer to page 92 for a problem involving solving coupled first-order ODEs using Laplace transforms. Instructions: Solve step-by-step using Laplace transforms. Show detailed algebraic manipulations and inversions. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing] Refer to page 86 for a problem involving solving Legendre's differential equation. Instructions: Solve using power series or standard solutions. Clearly justify every step and avoid unnecessary explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440AZF/view?usp=sharing]that proke lose chie %3D Let us ConsiderKayla Mason - Ch 6 Sec x alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3JH-IBjnuwZGiweFMYphv4tCLy6BMp$90NH0-bYrzEX_4hK4CwaDgYA6GPM_J53shLwhxNiu5pvnDtwErASY jJKC7hQv-Lwao?1oBw7OyibavbSPXtx-YCjsh 7mMmrq. Ch 6 Sec 4 Homework Question 3 of 4 (1 point) Question Attempt: 5 of Unlimited Kayla Españc 1 =D3 X 4 Below, n is the sample size, p is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the TI-84 Plus calculator to find the probability. Round the answer to at least four decimal places. n= 80, p=0.45 P(X< 42) 0.9004 do