Question: 3. Given a differential equation with initial condition dx dt (a) Use Euler's method with h = 0.1 to obtain approximate solutions of x

3. Given a differential equation with initial condition dx dt (a) Use

3. Given a differential equation with initial condition dx dt (a) Use Euler's method with h = 0.1 to obtain approximate solutions of x at t = 0.5. (b) Determine the percentage error in x at t = 0.5, given the exact solution 1 -4t x (t) = 1 + = =e-0 = 2-e--2x ; x (0) = 1 [CO3_C3: 8 MARKS]

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