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Questions and Answers
Which type of differential equation cannot be solved using separation of variables?
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:
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?
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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