3. Given a differential equation with initial condition dx dt (a) Use Euler's method with h...

 

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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 x (t) = 1 +=e-₁te-²0 = 2-e-¹-2x ; x (0) = 1 [CO3_C3: 8 MARKS] 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 x (t) = 1 +=e-₁te-²0 = 2-e-¹-2x ; x (0) = 1 [CO3_C3: 8 MARKS]

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To solve the differential equation using Eulers method we can use the following steps Eulers method ... View the full answer