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The integrating factor of the differential equation dy/dx + y = x is:

Answer: e^x.

A e^x
B e^−x
C x
D 1

Correct answer: A. e^x

Explanation: IF = e^{∫P dx} = e^{∫1 dx} = e^x.

The general solution y=Ax² represents an entire FAMILY of curves, one for each value of the arbitrary constant A; a particular solution (fixed by an initial condition) selects exactly one curve from this family.

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Equations involving derivatives and their solutions

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The integrating factor of the differential equation dy/dx + y = x is:

Concept context

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