(Solved): The general solution of the differential equation -2xy + 2xy = y3 is O In 21 + c y = C 2 y2 In 3] + ...

The general solution of the differential equation -2xy + 2xy = y3 is O In 21 + c y = C 2 y2 In 3] + c O y = zº(In 3| + c) O y2 = In x + c 22 Given that the matrix 2 ? ( -1 0 has complex eigenvalue = 1 + 2i and the corresponding eigenvector (1 + 2i] V- -11-21 [ a fundamental matrix for the system X = Ax is X- e er (cos(2t) - 2 sin(2t) sin(2t) + 2 cos(2t - cos(2) - sin(2t) (20)] e [26 ) cos(2) cos(2+) ) sin(2t) - sin(2+) - e [cos(26) cos(2t) - 2 sin(2t) sin(2t) + 2 cos(2+) cos(26) - sin(2t) os(2)] $(2) es cos/21) [cos(2t) + 2 sin(2t) sin(2t) - 2 cos(2t) cos(2) - sin(2t)