Question:
Forming a differential equation representing the given family of curves by eliminating arbitrary constants a and b from y = e2x (a + bx) yields the differential equation
Forming a differential equation representing the given family of curves by eliminating arbitrary constants a and b from y = e2x (a + bx) yields the differential equation
Options:
- y” + 4y’ + 4y = 0
- y” + 4y’ – 4y = 0
- y” – 4y’ + 4y = 0
- y” – 4y’ – 4y = 0
- y” + 4y’ + 4y = 0
- y” + 4y’ – 4y = 0
- y” – 4y’ + 4y = 0
- y” – 4y’ – 4y = 0
Correct Answer: c)
Explanation:
‘ eXy=a+bz
er W gery —p
d
e*(F-2)=b
d* d. d;
\ FG 2g) ~ 2 (EL —-2y)=0 1
dy dy
\ w= 4a ty=0
‘ eXy=a+bz
er W gery —p
d
e*(F-2)=b
d* d. d;
\ FG 2g) ~ 2 (EL —-2y)=0 1
dy dy
\ w= 4a ty=0