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step solution for this Differntial Equation. IB HL Maths Consider the differential equation dy y for x, y > 0. dx x+ wxy (a) Use

step solution for this Differntial Equation. IB HL Maths

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Consider the differential equation dy y for x, y > 0. dx x+ wxy (a) Use Euler's method starting at the point (x, y) = (1,2), with interval h =0.2, to find an approximate value of y when x =1.6. [7] dy V (b) Use the substitution y = vx to show that x V; [3] dx 1+ vv 22 (c) (i) Hence find the solution of the differential equation in the form f(x, y) =0, given that y = 2 when x =1. (ii) Find the value of y when x = 1.6. [9]

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