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Elementary Differential Equation
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8. Why is d²y/dx² + y(dy/dx) = 0 classified as non-linear?
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10. The ODE derived from y = Ae⁻⁴ˣ + Be⁻⁶ˣ is:
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11. If y = Ae³ˣ + Be⁻²ˣ has two arbitrary constants, how many times must it be differentiated to form the ODE?
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1. A differential equation is best defined as:
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4. What is the ORDER of the differential equation: 4(d³y/dx³) + sin x (d²y/dx²) + 5xy = 0?
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12. The method of direct integration applies when a first-order ODE is written as:
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7. Which of the following ODEs is NON-LINEAR?
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3. A Partial Differential Equation (PDE) is one in which the unknown function depends on:
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2. Which of the following is an example of an Ordinary Differential Equation (ODE)?
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6. What is the degree of the ODE: (d²y/dx²)³ + 3y(dy/dx)⁷ + y³(dy/dx)² = 5x?
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