Classify the following differential equation: dy dx = y(y − 2)e x
i. order:
ii. linear/nonlinear:
iii. separable/not separable:

1,non linear and separable

Step-by-step explanation:

given is a differential equation as

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

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

Hence separable

w'x is 0.

hope it