Exercise 15.7 Using Picard's method, solve the following dy 1. dr 1 1 1. = x+y...

 

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Exercise 15.7 Using Picard's method, solve the following dy 1. dr 1 1 1. = x+y° given y (0) = 0, upto third approximation. Ans. v = 20 160 4400 2. Apply Picard's iteration method to find approximate solutions to the initial value problem y =1+y, y (0) = 0 (A.M.IE.T.E, Winter 1996) 3. dv = x-y, given y (0) = 1 and find y (0.2) to five places of decimals. Ans. y = 1-x+x- 12 0.83746 720 60 Exercise 15.7 Using Picard's method, solve the following dy 1. dr 1 1 1. = x+y° given y (0) = 0, upto third approximation. Ans. v = 20 160 4400 2. Apply Picard's iteration method to find approximate solutions to the initial value problem y =1+y, y (0) = 0 (A.M.IE.T.E, Winter 1996) 3. dv = x-y, given y (0) = 1 and find y (0.2) to five places of decimals. Ans. y = 1-x+x- 12 0.83746 720 60