Question

Determine whether the equation is exact. If it is, then solve it. \left[2y \cos \left(xy\right) + \frac{5}{\sqrt{1 - x^2}}\right]dx + \left[2x \cos \left(xy\right) - 5y - \frac{1}{7}\right]dy = 0 For the given equation, write out the condition for exactness. \frac{\partial}{\partial y}\left[2y \cos \left(xy\right) + \frac{5}{\sqrt{1 - x^2}}\right] = \frac{\partial}{\partial x}\left[2x \cos \left(xy\right) - 5y - \frac{1}{7}\right] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type expressions using x and y as the variables.) A. The equation is exact because $\frac{\partial M}{\partial y}\left(x, y\right) = \frac{\partial N}{\partial x}\left(x, y\right) = 2 \sin \left(xy\right)$. An implicit solution in the form $F\left(x, y\right) = C$ is $2 \sin \left(xy\right) + 5 \arcsin \left(x\right) - \frac{5}{2}y^2 - \frac{1}{7}y = C$, where $C$ is an arbitrary constant. B. The equation is not exact because $\frac{\partial M}{\partial y}\left(x, y\right) \ne \frac{\partial N}{\partial x}\left(x, y\right) = $

          Determine whether the equation is exact. If it is, then solve it.
\left[2y \cos \left(xy\right) + \frac{5}{\sqrt{1 - x^2}}\right]dx + \left[2x \cos \left(xy\right) - 5y - \frac{1}{7}\right]dy = 0
For the given equation, write out the condition for exactness.
\frac{\partial}{\partial y}\left[2y \cos \left(xy\right) + \frac{5}{\sqrt{1 - x^2}}\right] = \frac{\partial}{\partial x}\left[2x \cos \left(xy\right) - 5y - \frac{1}{7}\right]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Type expressions using x and y as the variables.)
A. The equation is exact because $\frac{\partial M}{\partial y}\left(x, y\right) = \frac{\partial N}{\partial x}\left(x, y\right) = 2 \sin \left(xy\right)$. An implicit solution in the form $F\left(x, y\right) = C$ is $2 \sin \left(xy\right) + 5 \arcsin \left(x\right) - \frac{5}{2}y^2 - \frac{1}{7}y = C$, where $C$ is an arbitrary constant.
B. The equation is not exact because $\frac{\partial M}{\partial y}\left(x, y\right) \ne \frac{\partial N}{\partial x}\left(x, y\right) = $

Determine whether the equation is exact. If it is, then solve it.
[2y cos(xy) + (5)/(√(1 - x^2))]dx + [2x cos(xy) - 5y - (1)/(7)]dy = 0
For the given equation, write out the condition for exactness.
(∂)/(∂y)[2y cos(xy) + (5)/(√(1 - x^2))] = (∂)/(∂x)[2x cos(xy) - 5y - (1)/(7)]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Type expressions using x and y as the variables.)
A. The equation is exact because (∂ M)/(∂ y)(x, y) = (∂ N)/(∂ x)(x, y) = 2 sin(xy). An implicit solution in the form F(x, y) = C is 2 sin(xy) + 5 arcsin(x) - (5)/(2)y^2 - (1)/(7)y = C, where C is an arbitrary constant.
B. The equation is not exact because (∂ M)/(∂ y)(x, y) (∂ N)/(∂ x)(x, y) =

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