Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
1.8k views
in Differential equations by (36.3k points)

The order of the differential equation whose general solution is given by y = (c1 + c2) cos(x + c3) – c4ex+c5, where c1, c2, c3, c4, and c5 are arbitrary constants is ... 

(a) 5 

(b) 4 

(c) 3 

(d) 2

1 Answer

+1 vote
by (33.0k points)
selected by
 
Best answer

Answer is (c) 3

Explanation :

The given curve is

y = (c1 + c2) cos(x + c3) – c4ex + c5

y = (c1 + c2) cos(x + c3) – c4ec.ex

y = A cos(x + c3) – B.ex

Since the given curve has 3 arbitrary constants, so, the order of the differential equation represented by the given curve is 3.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...