What is the value of k if the differential equation: (x^2 - 6xy)dx - (kx^2+3y)dy=0 is exact? a. 3 b. 1 c. -1 d. 2
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For this, we need to check if the partial derivatives of the coefficients with respect to x and y are equal: ∂M/∂y = -Bx = ∂N/∂x = -kx ∂M/∂x = -By = ∂N/∂y = -3 Since the partial derivatives are equal, the equation is exact. Show more…
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