wiz-icon
MyQuestionIcon
MyQuestionIcon
23
You visited us 23 times! Enjoying our articles? Unlock Full Access!
Question

The differential equation representing the family of curves y2=2c(x+c) where c is a positive parameter, is of

A
Order 1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Order 2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Degree 3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Degree 4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
A Order 1
C Degree 3
Given curve is y2=2c(x+c).
Differentiate w.r.t. x, 2ydydx=2cc=ydydx
Hence differential equation is
y2=2ydydx(x+ydydx)y2dydxx=ydydx
Squaring and multiplying by (dydx)2
y(dydx)3x2(dydx)2+xy(dydx)y24=0
Hence order is 1 and degree is 3.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Inverse Trigonometric Functions
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon