Question: The following second-order ODE is considered to be stiff d2y/dx2= -l00l dy/dx - l000y Solve this differential equation (a) Analytically and (b) Numerically for x

The following second-order ODE is considered to be stiff

d2y/dx2= -l00l dy/dx - l000y

Solve this differential equation

(a) Analytically and

(b) Numerically for x = 0 to 5. For (b) use an implicit approach with h = 0.5. Note that the initial conditions are y(0) = 1 and y’(0) = 0. Display both results graphically.

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