smckinney2139 smckinney2139
  • 03-01-2020
  • Mathematics
contestada

Classify the following differential equation: dy dx = y(y − 2)e x
i. ORDER:
ii. LINEAR/NONLINEAR:
iii. SEPARABLE/NOT SEPARABLE:

Respuesta :

AlonsoDehner AlonsoDehner
  • 04-01-2020

Answer:

1,non linear and separable

Step-by-step explanation:

given is a differential equation as

[tex]\frac{dy}{dx} =y(y-2)e^x[/tex]

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

[tex]\frac{dy}{dx} =y(y-2)e^x[/tex]

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

Hence separable

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