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Calculus Differential Equation Please show step by step answer. Consider the differential equation d_y= y for x, y > 0. x + J (3) Use

Calculus Differential Equation Please show step by step answer.

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Consider the differential equation d_y= y for x, y > 0. x + J (3) Use Euler's method starting at the point (x, y)- (1.2). with interval h = 0.2, to nd an approximate value of y when x = 1.6. [5'] dv v Use the substitution to show that x - - v; 3 (b) y= wt dx H J; I } 22 (c) (i) Hence nd the solution of the differential equation in the form f (x, y) = 0, given that y=2 when x=l. (ii) Find the value of y when x = 1.6. [9]

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