Question
Differential Equations Question on Differential Equations
For the differential equation
y(8x − 9y)dx + 2x(x − 3y)dy = 0 ,
which one of the following statements is TRUE ?
A
The differential equation is not exact and has x2 as an integrating factor
B
The differential equation is exact and homogeneous
C
The differential equation is not exact and does not have x2 as an integrating factor
D
The differential equation is not homogeneous and has x2 as an integrating factor
Answer
The differential equation is not exact and has x2 as an integrating factor
Explanation
Solution
The correct option is (A) : The differential equation is not exact and has x2 as an integrating factor.