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  3. given following ode's 1) x' = x / 1+t, with x(0) =

Given following ODE's 1) x' = x / 1+t, with x(0) = 1 find x(2) 2) x'...

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Advance Math

Given following ODE's

1) x' = x / 1+t, with x(0) = 1 find x(2)

2) x' = t+x with x(0) = 1, find x(2)

3) x' = t-x, with x(1) =2 find x(3)

4) x' = t-x/t+x, with x(2) = 1, find x(4)

a) Solve each of the ODE's using Euler's method with h = 0.5,and calculate the relative error

i) x' = x/1+t: Approximation ____________________ Relativeerror: ________________

ii) x'= t+x; Approximation ____________________ Relative error:________________

iii) x' = t-x; Approximation ____________________ Relativeerror: ________________

iv) x' = t-x/t+x; Approximation ____________________ Relativeerror: ________________

would you please sow me the steps?

Thank you.

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