PLEASE HELP ME ANSWER THIS QUESTION ABOUT DIFFERENTIAL EQUATION PLEASE FOLLOW THE INSTRUCTIONS AND I NEED COMPLETE AND CLEAR SOLUTION THANK YOU

General Direction: Please be orderly in presenting your answers and solutions. I. TRUE OR FALSE. Write TRUE if the statement is correct and change the underline word/s, otherwise. Justify your answer or state your reason. No need to solve for the solution of the differential equations. 2 a. dx 3) + 2x-= 5x3 is a differential equation of degree 6. b. The differential equation y' - y = -xe-2xy is an example of a first order linear differential equations. c. 3y(x2 - 1)dx + (x3 + 8y -3x)dy = 0 is an example of an exact equation. d. We can reduce the differential equation y(2x2 - xy + 1)dx + (x - y)dy = 0 into an exact equation. e. Given the functions x2 + 6y and -4xy. These functions are homogeneous function of degree 3. f. Suppose f (x) = 2x +5x (x-1)2 (x2+5)3 Then we can decompose this rational function using B C D E + + + x-1 (x-1)2 (x2+5) (x2+5)2 + (x2+5)3'