Question: Given the first-order ODE dx/dt= -700x - 1000e-1 x(t = 0) = 4 Solve this stiff differential equation using a numerical method over the time

Given the first-order ODE

dx/dt= -700x - 1000e-1

x(t = 0) = 4

Solve this stiff differential equation using a numerical method over the time period 0 ≤ t ≤ 5. Also solve analytically and plot the analytic and numerical solution for both the fast transient and slow transition phase of the timescale.

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