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Questions and Answers
What is the general form of a linear differential equation of first order and first degree?
What is the general form of a linear differential equation of first order and first degree?
- dy/dx + Py = Q (correct)
- dy/dx = Py + Q
- dy/dx + Q = Py
- dy/dx = P + Qy
What is the integrating factor of the differential equation dy/dx + Py = Q?
What is the integrating factor of the differential equation dy/dx + Py = Q?
- e^(∫Pdx)
- e^(-∫Pdx) (correct)
- e^(-∫Qdx)
- e^(∫Qdx)
What is the complementary function of the differential equation dy/dx + 2y = 0?
What is the complementary function of the differential equation dy/dx + 2y = 0?
- y = Axe^(-2x)
- y = Axe^(2x)
- y = Ae^(2x)
- y = Ae^(-2x) (correct)
What is the particular integral of the differential equation dy/dx + 2y = 3, when y(0) = 1?
What is the particular integral of the differential equation dy/dx + 2y = 3, when y(0) = 1?
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What is the general solution to the differential equation dy/dx + 2y = 3?
What is the general solution to the differential equation dy/dx + 2y = 3?
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