Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Numerical Analysis Numerical Differentiation and Integration
Let the solution to the initial value problem
y' = y - t2 +1, 0 ≤ t ≤ 2, y(0) = 0.5
be computed using the Euler's method with step-length h = 0.4 · If y(0.8) and w(0.8) denote the exact and approximate solutions at t = 0.8, then an error bound for Euler's method is given by
1
0.2(0.5e2 - 2)(e0.4 - 1)
2
0.1(e0.4 - 1)
3
0.2(0.5e2 - 2)(e0.8 - 1)
4
0.1(e0.8 - 1)