Answer:
- The differential equation is an Ordinary Differential Equation
- It is of the fourth order
- The dependent variable is "y"
- The independent variable is "m"
- It is nonlinear
Step-by-step explanation:
d^4y / dm^4 = y (3 - 8m) / m(5 - 7y)
- This is an Ordinary Differential Equation (ODE) because it contains ordinary derivatives of the dependent variable with respect to the independent variable.
- It is of the fourth order because the highest derivative of the dependent variable with respect to the independent variable is 4, that is d^4y/dm^4
- The dependent variable is "y"
- The independent variable is "m"
- It is nonlinear because the equation contains the product of the dependent variable with its derivatives.
The equation can be written as
5md^4y/dm^4 - 7yd^4y/dm^4 = y (3 - 8m)
and
7yd^4y/dm^4 make the equation nonlinear.
