Problem 1 verify that the differential equation (2x y)dx +(x - 6y)dy = 0 is exact and then solve the associated differential equation

Answer with explanation:

⇒(2 x y )d x+(x-6 y) d y=0

P= 2 x y

Q=x-6 y

So this Differential Equation is exact.

To solve this, we will first evaluate,.

Differentiating with respect to , y

Substituting the value of , k(y) in equation 1.

This is required Solution of exact differential equation.

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