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

If y=eax, then show that xdydx=ylogy.

Open in App
Solution

Given y=eax .... (i)
or logy=ax
Differentiating both sides of equation (i) w.r.t. x, we get
1y.dydx=a
dydx=ay
dydx=aeax ....[y=eax]
Multiplying both sides with x, we get
xdydx=axeax
xdydx=ylogy

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