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other math questions and answerssolve the following initial value problems: 5 y"-sy = 0, 6 2. y(0) = 2, 1 y'(0) = 0 0 0 10. consider the data points ( (x,, f,), where f,f(xj ): (1.1, 3.2), (1.6,5.5) (2.2,8.0) and (2.5,9.1). find p3(x) (with coefficients to 4 decimal places) via la- grangian interpolation. interpolate values at x - 1.25 and r - 2.0. given that 0.5 s f(x) 3 3.0 on 1,3,

Question: Solve The Following Initial Value Problems: 5 Y"-Sy = 0, 6 2. Y(0) = 2, 1 Y'(0) = 0 0 0 10. Consider The Data Points ( (X,, F,), Where F,F(Xj ): (1.1, 3.2), (1.6,5.5) (2.2,8.0) And (2.5,9.1). Find P3(X) (With Coefficients To 4 Decimal Places) Via La- Grangian Interpolation. Interpolate Values At X - 1.25 And R - 2.0. Given That 0.5 S F(X) 3 3.0 On 1,3,

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Solve the following initial value problems: 5 y-Sy = 0, 6 2. y(0) = 2, 1 y(0) = 0 0 0 10. Consider the data points ( (x,, f,), where f,f(xj ): (1.1, 3.2), (1.6,5.5) (2.2,8.0) and (2.5,9.1). Find p3(x) (with coefficients to 4 decimal places) via La- grangian Interpolation. Interpolate values at x - 1.25 and r - 2.0. Given that 0.5 s f(x) 3 3.0 on 1,3, estimate the error bounds