a. day + y = 2x dx2 0

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A Day Y 2x Dx2 0 X 1 Y 0 0 Y 1 0 N X X 1 7 Dy Y 2 Sinx 0 X 1 Y O 0 Y 1 0 Ni X Sin Tx B D X 1 (44.34 KiB) Viewed 9 times

a. day + y = 2x dx2 0<x<1 y(0) = 0 y(1) = 0 N (x) = x(1-7) dy + y = 2 sinx 0<x<1 y(O) = 0 y(1) = 0 Ni(x) = sin TX b. d.x2 c. dy + y2 = 4x 0<x< 1 d.x y(0) = 0 y(1) = 0 Ni(x) = x²(1 - x) d. dy - y = 2 0 < . < 10 dx y(0) = 0 y(10) = 0 Ni(x) = x(10 - x)? e. dy dx2 dy 3 + y = x 0<x< 1 dx y(O) = 0 y(1) = 0 N (x) = x(x - 1)? Question 2: For each of the differential equations given in Question 1, use the method of Example 5.4 to determine the trial functions for a two-term approximate solution using Galerkin's method of weighted residuals.