Solve the following differential equation from t = 0 to 1

dy/dt = –10y

With the initial condition y(0) = 1. Use the following techniques to obtain your solutions:

(a) Analytically,

(b) The explicit Euler method, and

(c) The implicit Euler method. For (b) and (c) use h = 0.1 and 0.2. Plot your results.