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3. find the particular solution to the de in the interval...

# Question: find the particular solution to the de in the interval...

###### Question details

Find the particular solution to the DE in the interval (0,∞), with initial condition y(1)=2. Evaluate y(10) for the solution.

Now assume that you are not certain about the initial condition due to an error in measurements. Suppose the error estimates for the measurements are |x−1|<0.02 and |y−2|<0.05. Find the maximum error that you get for y(10).

Repeat above part 2 with initial condition y(0.1)=0.2 with error |x−0.1|<0.02,|y−0.2|<0.05.