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$\dfrac{\partial M}{\partial y}=\phi, \ \dfrac{\partial N}{\partial x}=\phi \ \mbox{for all} \ (x, y) \ \mbox{in} \ \mathbb{R}.$

$\dfrac{\partial\phi}{\partial x}=M, \ \dfrac{\partial\phi}{\partial y}=N \ \mbox{for all} \ (x, y) \ \mbox{in} \ \mathbb{R}.$

$\dfrac{\partial M}{\partial x}=\phi, \ \dfrac{\partial N}{\partial y}=\phi \ \mbox{for all} \ (x, y) \ \mbox{in} \ \mathbb{R}.$

$\mbox{None of the above}$

$\dfrac{\partial\phi}{\partial y}=M, \ \dfrac{\partial\phi}{\partial x}=N \ \mbox{for all} \ (x, y) \ \mbox{in} \ \mathbb{R}.$

	$L_1 \ \mbox{is not a linear operator, but} \ L_2 \ \mbox{is a linear operator.}$
	$L_1 \ \mbox{is not a linear operator and} \ L_2 \ \mbox{is not a linear operator.}$
	$L_1 \ \mbox{is a linear operator, but} \ L_2 \ \mbox{is not a linear operator.}$
	$L_1 \ \mbox{is a linear operator and} \ L_2 \ \mbox{is a linear operator.}$

Test!

	$y=c_1e^{-3x/2}\sin \left (\dfrac{\sqrt{7}x}{2}\right ) +c_2e^{-3x/2}\cos \left (\dfrac{\sqrt{7}x}{2}\right )+\dfrac{4}{3}x-\dfrac{1}{9}$
	$y=c_1e^{-3x/2}\sin \left (\dfrac{\sqrt{7}x}{2}\right ) +c_2e^{-3x/2}\cos \left (\dfrac{\sqrt{7}x}{2}\right )+\dfrac{3}{5}x-\dfrac{1}{25}$
	$y=c_1e^{-3x/2}\sin \left (\dfrac{\sqrt{7}x}{2}\right ) +c_2e^{-3x/2}\cos \left (\dfrac{\sqrt{7}x}{2}\right )+\dfrac{3}{4}x-\dfrac{1}{16}$
	$\mbox{None of the above}$
	$y=c_1e^{-3x/2}\sin \left (\dfrac{\sqrt{7}x}{2}\right ) +c_2e^{-3x/2}\cos \left (\dfrac{\sqrt{7}x}{2}\right )+\dfrac{4}{5}x-\dfrac{1}{25}$