wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

The differential equations satisfied by the system of parabolas y2=4ax+a is:


A

ydydx+2xdydx-y=0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

ydydx2+2xdydx-y=0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

ydydx-2xdydx-y=0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

ydydx-2xdydx+y=0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

ydydx2+2xdydx-y=0


Explanation for correct option

Finding the differential equation

Given equation, y2=4a(x+a).......1
On differentiating w.r.t.x:
2ydydx=4aa=y2dydx
On substituting a in equation 1:
y2=4yzdydx(x+a)y=2dydx(x+a)y=dydxx+y2dydxy=2xdydx+y2dydx2ydydx2+2xdydx-y=0
Hence, the correct answer is Option (B).


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon