+ + + + + + + +

Y' + (l +x)ji' + (I +x)y = I yeO) = I andy'(l) = 0 (R) 59. Solve the following ODE by the shooting method using the second-order

modified Euler method with ,ix = 0.125.

ji" + (l +x)y' + (I +x)y = 2et / 2 + 1 +x yeO) = 1 andy'(l) = 0 (S)

60. *Solve Problem 54 by the second-order equilibrium method. 61. Solve Problem 55 by the second-order equilibrium method. 62. Solve Problem 56 by the second-order equilibrium method. 63. Solve Problem 57 by the second-order equilibrium method. 64. Solve Problem 58 by the second-order equilibrium method. 65. Solve Problem 59 by the second-order equilibrium method.