Transformation using matrices (Geometry, Transformations) – Mathplanet

SOLVED: Consider the ODEdy pq > 1 > 0where b > 1.(a) Apply the stretching transformation t = b to obtain the equivalent ODE1 > 2 > 01p(Strictly speaking, y in these two ODEs is not quite the same function. Rather, it stands in each case for the unknown function.) (b) Show that applying the forward Euler method 65 to the ODE in t with step size h = t is equivalent to applying the same method to the ODE in with step size satisfying t = b. In other words, the same stretching transformation can be

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