Question: English translation We consider the given equation for a parameter k> 0.(i) Show that the DE is not exact.(ii) Solve the DE using the substitution

English translation We consider the given equation for a parameter k> 0.(i) Show that the DE is not exact.(ii) Solve the DE using the substitution y = xu(x).(iii) Find the solution y(x) of u(x).

English translation We consider the given equation for a parameter k> 0.(i)

QUESTION 3 ( pts). On considere l'equation (akti + yk+]) dx + xy*dy =0, x, y > 0, pour un parametre k > 0. (i) Montrer que l'ED n'est pas exacte. (ii) Resoudre l'ED en utilisant la substitution y = ru(x). (iii) Retrouver la solution y(x) de u(x)

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