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Question [5 points]: Solution of the following separable DE is Select one: O None of these. O 5 ln |y| = 3 ln |x|+C = 3 x² - 2 + C 3 x² = = y² + C 2 ○ 5 ln |x| = 3 ln |y| + C 5xdy = 3ydx
For what value of k the given differential equation is exact? Select one: O k-4 O k = 2 None of these. O k = 4 Ok = -2 (kye¹¹ + 2x³y²)dx + (xªy — eª)dy = 0.
The DE: 4- is an exact differential equation if N(x, y) is equal to Select one: ○ N(x, y) = 4y - sin xy 5 -sin xy) dx + N(x, y)dy = 0 nzy) d. x O None of these. ○ N(x, y) = 4y - cos xy O N(x, y) = 4y+cos xy O ○ N(x, y) = 4y+sin xy
Which of the following is the integrating factor of the given linear DE ? dy 6y sin 2x = 3 cos 2x. dx Select one: ○ μ(x) = ³ cos 2x Ο μ(x) = e Ο μ(x)= = e -3 sin 2x -3 cos 2x None of these. μ(x) = e³ sin 2x