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Which of the following differential equations has y = x as one of its particular solution?

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The number of arbitrary constants in the particular solution of a differential equation of third order is

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Which of the following differential equations has y = C₁ e^x + C₂ e^–x as the general solution?

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The general solution of the differential equation is

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A homogeneous differential equation of the form can be solved by making the substitution.