Question: Subject : numerical method 1. Write down some applications of numerical methods in CSE. dy Solve dx = 1+xy , with y(0)=1 to find the

Subject : numerical method

1. Write down some applications of numerical methods in CSE. dy Solve dx = 1+xy , with y(0)=1 to find the value at x= 0.2 taking h=0.2 by Runge-Kutta method of 4th order. 2. Define numerical interpolation and numerical differentiation. Fit a second degree parabola for the following data: X 1.0 1.5 2.0 2.5 3.0 3.5 4.0 V 1.1 1.3 1.6 2.0 2.7 3.4 4.1

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