Question

Classify the following differential equation: dy dx = y(y − 2)e x

i. ORDER:
ii. LINEAR/NONLINEAR:
iii. SEPARABLE/NOT SEPARABLE:

Answer 1

1,non linear and separable

Explanation:

given is a differential equation as

`(dy)/(dx) =y(y-2)e^x`

Here we have derivative highest is first derivative

I) Order = 1 (since first derivative is used)

2) It is not linear since the variable y has power 2.

3) To check whether separable or not

`(dy)/(dx) =y(y-2)e^x`

we can take all y variables to left side and x to right side

Hence separable