Answer the following problems here are the instructions.

Write the letter of the answer which is correct and if the answer is not on the given choices, please write INCORRECT As well as write the summary of the answers and the solution, and if it is required it should be written after the summary

Given the differential equation (2) = k 1 + (dy) 2) 5/2 1. The order of the differential equation is A. 1 B. 2 C. 1/3 D. 6 2. The degree of the differential equation is A. 1 B. 2 C. 1/3 D. 6 Given the differential equations (() -+ yz = 0; (ii) (1-y)y' + 2y = ex; (uil) sin y = 0, 3. The linear differential equation(s) is/are A. i B. ii C. ili D. all linear Given the differential equations: (Questions 4-6 and Test II) dx A. = ylreax+4y B. cos x sinx - + (cos3 x)y = 1 c. dy ry -costsinx dx y(1-x2) D. (x] + y? )dx + (x2 - xy)dy =0 E. xdy + (y - xly? )dx = 0 F. (6x - 3y + 2)dx - (2x-y - 1)dy =0 G. y(x+ y+ 1)dx + x(x + 3y +2)dy = 0 4. Which ordinary differential equation(s) can be solved by variable separable method? 5. Which ordinary differential equation(s) can be solved by the use of integrating factor? 6. The number of arbitrary constant in the general solution of an ODE is equal to A. Degree B. order C. 3 D. none 7. A differential equation that contains derivatives of one or more than one dependent variables with respect to a single variable A. Ordinary DE B. Partial DE C. DE D. general solution 8. A differential equation that contains derivatives of one or more than one dependent variables with respect to a single variable A. Ordinary DE B. Partial DE C. DE D. general solution 9. It is an equation that contains derivativesA. Differential equation B. General solution C. Particular solution D. Inequalities II Problem Solving 1. Solve a differential equation using linear differential equation method. 2. Solve a differential equation using exact differential equation method. 3. Solve a differential equation that can be using separation of variables