Solve the initial value problem for the differential equation: ... | Filo
Solve the initial value problem for the differential equation: ... | Filo
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SOLVED:Consider the initial value problem (d x)/( d t)=10-x^2 with x(0)=0 i Solve this differential equation. ii Determine the approximate values of x at t=0.1,0.2,0.3,0.4 and 0.5 by using Euler's numerical formula with h=0.09 i Determine the approximate values of x at t=0.1,0.2,0.3,0.4 and 0.5 by using the improved Euler's formula. with h=0.09. iv Plot, on the same axes, the graphs of Euler's, the improved Euler's and the exact solutions. v Determine the percentage error at t=0.5 for Euler's
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