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Elementary Differential Equation
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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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13. The general solution of dy/dx = 3x² − 6x + 5 is:
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9. Verify that y = a sin 2x + b cos 2x is a solution of which ODE?
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5. The DEGREE of a differential equation is defined as:
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14. Solve the IVP: dy/dx = 2x, y(1) = 4. The particular solution is:
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