In each of Problems 13. y - y = 2te, 14. y' + 2y = te-2,...

 

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In each of Problems 13. y - y = 2te, 14. y' + 2y = te-2¹, 13 through 20, find the solution of the given initial value problem. y(0) = 1 y(1) = 0 15. ty + 2y = 1²−1+1, 16. y' + (2/t)y = (cost)/1², 17. y' - 2y = e²¹, y (0) = 2 18. ty' + 2y = sin f, 19. f³y + 412y = e-¹, 20. ty + (t+1)y=t, y(1) => 0 y(π) = 0, y(л/2) = 1, y(-1) = 0, y(In 2) = 1, t> 0 1 <0 10 0 In each of Problems 13. y - y = 2te, 14. y' + 2y = te-2¹, 13 through 20, find the solution of the given initial value problem. y(0) = 1 y(1) = 0 15. ty + 2y = 1²−1+1, 16. y' + (2/t)y = (cost)/1², 17. y' - 2y = e²¹, y (0) = 2 18. ty' + 2y = sin f, 19. f³y + 412y = e-¹, 20. ty + (t+1)y=t, y(1) => 0 y(π) = 0, y(л/2) = 1, y(-1) = 0, y(In 2) = 1, t> 0 1 <0 10 0