Question

If xy+4e ʸ =4e, find the value of ′′y ′′ at the point where x =0

A) y ′′ (0)=0
B) y ′′ (0)=1
C) y ′′ (0)=−1
D) y ′′(0)=2

Answer 1

The value of 'y' at the point where x=0 in the equation xy+4e^y=4e is y=1. The correct answer is B) y''(0)=1.

Step-by-step explanation:

To find the value of 'y' at the point where x=0 in the equation xy+4e^y=4e, we need to substitute x=0 into the equation and solve for y.

First, substitute x=0 into the equation:

0y+4e^y=4e

Next, simplify and solve for y:

4e^y=4e

Divide both sides of the equation by 4e:

e^y=e

Take the natural logarithm of both sides to solve for y:

ln(e^y)=ln(e)

y=1

Therefore, the value of 'y' at the point where x=0 is y=1. So the correct answer is B) y''(0)=1.