Application of Differential Equations

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  • Q1

    Marks:1
    Answer:

    (y - 1)(x + 1) - 2x = 0.

    Explanation:

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  • Q2

    The curve in which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is

    Marks:1
    Answer:

    a rectangular hyperbola.

    Explanation:
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  • Q3

    Marks:1
    Answer:

    2loge10.

    Explanation:
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  • Q4

    The slope of a curve at any point is the reciprocal of twice the ordinate at that point and it passes through the point (4, 3). The equation of the curve will be

    Marks:1
    Answer:

    y2 = x + 5.

    Explanation:
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  • Q5

    The population of a country doubles in 40 years. Assuming that the rate of increase is proportional to the number of inhabitants, the number of years in which it would treble itself is:

    Marks:1
    Answer:


    Explanation:

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