Question
Mathematics Question on Differential equations
Given that dy/dx = yex such that x = 0, y = e. The value of y(y > 0) when x = 1 will be
A
e
B
1/e
C
ee
D
e2
Answer
ee
Explanation
Solution
The correct answer is option C) ee
Given that dy/dx = yex
such that x = 0, y = e.
The value of y(y > 0) when x = 1 will be
dy/y = exdx
ā ln y = ex + c
At x = 0, y = e.
So, c = 0. ln y = ex
Therefore, at x = 1, y = ee.