Consider the differential equations Equation 1: (e2y – y cos(ay)) dæ + (2xe - x cos(ay) +2y) dy = 0 ¤ cos(xy) + 2y) dy = 0 and Equation 2: (23 + y³) da = (cy?) dy. Which of the following is/are true?...

Consider the differential equations. Which of the following is true?

Extracted text: Consider the differential equations Equation 1: (e2y – y cos(ay)) dæ + (2xe - x cos(ay) +2y) dy = 0 ¤ cos(xy) + 2y) dy = 0 and Equation 2: (23 + y³) da = (cy?) dy. Which of the following is/are true? OA. Equation 2 has solution In x + =C. B. Equation 2 has solution Inx C. C. Equation 1 has solution xe2y + cos(ay) +y? = c. O D. Equation 2 is an exact differential equation. E. Equation 2 has solution InI C. F. Equation 1 has solution ye2y- sin(ry) + y? = c. O G. Equation 2 is a homogenous differential equation. H. Equation 1 has solution ceu – sin(ry) +y? = c. C. I. Equation 1 is a homogeneous differential equation. J. Equation 2 is a separable differential equation. K. Equation 1 is a linear differential equation. L. Equation 1 is an exact differential equation. M. Equation 1 has solution e2y + sin(ry) + y? = c.