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The ordinary differential equation
  • a)
    linear and homogeneous
  • b)
    linear and non-homogeneous
  • c)
    non-linear and homogeneous
  • d)
    non-linear and non-homogeneous
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ordinary differential equationa)linear and homogeneousb)linear and...
Concept:
Identification of Non-linear Differential Equation:

If any differential equation consists at least one of the above properties, then it is called non-linear differential equation and if any differential equation is free from all the above properties, then it is a linear differential equation.
Given:
It is free from all the four characteristics described in the table. Hence it is a linear differential equation.
Product of dependent and independent variable i.e. x and u is present. Hence it is a non-homogenous equation.
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Community Answer
The ordinary differential equationa)linear and homogeneousb)linear and...
Concept:
Identification of Non-linear Differential Equation:

If any differential equation consists at least one of the above properties, then it is called non-linear differential equation and if any differential equation is free from all the above properties, then it is a linear differential equation.
Given:
It is free from all the four characteristics described in the table. Hence it is a linear differential equation.
Product of dependent and independent variable i.e. x and u is present. Hence it is a non-homogenous equation.
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