End sem Question 7

Solve Ordinary Differential Equations
dy/dx = x + y , y(0) = 1
find y (0.5) and y (1) Using any one from the following:
Euler’s Modified Method
Runge-Kutta fourth order Method
Picard’s Method
Taylor Series Method
For selected method, write:
• Algorithm / Flowchart
• Program ( C / Python )
• Iterative solution table
• Time & Space Complexity

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