# Mathematics Questions

## Question

1. Let y' = y(6 - ty), y(0) = 0.8
Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, 3 with h = 0.025
Carry out all calculations exactly and round the final answers to six decimal places.

2. Let y' = -ty + 0.1y³
Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, 3 with h = 0.05
Carry out all calculations exactly and round the final answers to six decimal places

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