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

The family of curves which satisfies the differential equation y exydx=(x exy+y2)dy, (y0) is
(where C is the constant of integration )

A
y exy=C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
y+exy=C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
xeyx=C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
yexy=C
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D yexy=C
y exydx=(x exy+y2)dy, (y0)
dxdy=x exy+y2y exy
Put x=vy
dxdy=v+ydvdy
v+ydvdy=v+yev
ev dv=dy
ev+C=y
yexy=C

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