7. Solve y" - 3y' + 2y = H(x-6), y(0) = 0, y'(0) = 4 by Laplace Transform. 8. Solve y" + y = 8(x-n), y(0) = 0 = y'(0) by

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7 Solve Y 3y 2y H X 6 Y 0 0 Y 0 4 By Laplace Transform 8 Solve Y Y 8 X N Y 0 0 Y 0 By 1 (21.69 KiB) Viewed 25 times

7. Solve y" - 3y' + 2y = H(x-6), y(0) = 0, y'(0) = 4 by Laplace Transform. 8. Solve y" + y = 8(x-n), y(0) = 0 = y'(0) by Laplace Transform. 9. Find the solution of ux + 2xu = 2x, x>0, t > 0, u(x,0) = 1, u(0,t) = 1 by Laplace Transform. 10. Find Fourier series to represent the function f(x) given by . Deduce +++∞ = ² 0≤x≤π f(x) = {2π-x, π ≤ x ≤ 2π {x₁