wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Number of values of m N for which y=emx is a solution of the differential equation D3y3D2y4Dy+12y=0, is

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
more than 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 2
Let,

y=emx

thenD(y)=memx,D2(y)=m2emx ,D3(y)=m3emx

then given
D3(y)3D2(y)4D(y)+12y=0

m3emx3m3emx4memx+12emx=0

m33m24m+12=0(emx0)

(m2)(m3)(m+2)=0

m=2,3,2

Hence, the number of values of m N will be 2.........(2 does not belong to the set of natural numbers)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Methods of Solving First Order, First Degree Differential Equations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon