Use euler's method with step size 0.2 to estimate y(2), where y(x) is the solution of the initial-value problem y' = 2 − 3xy, y(1) = 0. (round your answer to four decimal places.)

Step-by-step explanation:

We are given that

Step size=0.2

Initial value problem

y'=2-3xy

f(x,y)=2-3xy

y(1)=0

We have to find the value of

Euler's method of approximation

We have

Substitute the value then we get when n=1

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