Which of the following are first order linear differential equations?

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Which of the following are first order linear differential equations? A. sin⁡(x)dy dx − 3y = 0 B. xdy dx − 4y = x6 ex C. dP dt + 2tP = P + 4t − 2 D. (dy dx)2 + cos⁡(x)y = 5 E. d2y dx2 + sin⁡(x)dy dx = cos⁡(x) F. dy dx = y2 − 3y

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Which of the following are first order linear differential equations? A.

\sin (x) \frac{d y}{d x} - 3 y = 0

x \frac{d y}{d x} - 4 y = x^{6} e^{x}

\frac{d P}{d t} + 2 t P = P + 4 t - 2

{(\frac{d y}{d x})}^{2} + \cos (x) y = 5

\frac{d^{2} y}{d x^{2}} + \sin (x) \frac{d y}{d x} = \cos (x)

\frac{d y}{d x} = y^{2} - 3 y

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