Question: Solve the following differential equation from t = 0 to 2 with the initial condition y(0) = 1. Use the following techniques to obtain your

Solve the following differential equation from t = 0 to 2

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.

dy dt -10y

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