Differential Equations Concepts
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Questions and Answers

Which type of differential equation cannot be solved using separation of variables?

  • Homogeneous differential equation
  • Exact differential equation
  • Linear differential equation (correct)
  • Bernoulli's differential equation

    • When a linear differential equation has complex roots for its characteristic equation, the general solution involves:

  • Polynomial functions
  • Trigonometric functions
  • Exponential functions (correct)
  • Logarithmic functions

    • In the context of differential equations, what does the term 'order' refer to?

  • The complexity of the initial conditions
  • The degree of the highest derivative in the equation (correct)
  • The highest power of the dependent variable in the equation
  • The number of arbitrary constants in the solution

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