Task 10¶

deadline: 09/05/2021 23:59 CET

[0.5 points]: Solve the following ordinary differential equation,

\frac{d N (t)}{d t} = [1 + \cos (t)] N (t), N (0) = 1,

using the forward Euler method for $t \in [0, 5]$ and the step size $h = 0.2$ . Print the obtained value of solution for $t = 5$ .

[0.5 points]: Plot the solution obtained by the forward Euler method as well as the analytical solution

N (t) = N (0) \exp [t + \sin (t)]

in the interval $t \in [0, 5]$ .

# add your code here

12NME1 - Numerical methods