Multiple Choice Questions on Simplify the given differential equation dy dx x2 y if y 1 at x 0 ........ for NDA Exam Preparation

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Multiple Choice Questions

Simplify the given differential equation dy dx x2 y if y 1 at x 0 ........

Mathematics (NDA) Differential Equations
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    Simplify the given differential equation dy/dx  =x2 y  ,if y=1 at x=0 ?

    y=e1/2x

    Incorrect Answer

     y=e(x3/3)

    Incorrect Answer

    y=e1/x

    Incorrect Answer

     y=ex3/3

    Correct Answer
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    Explanation:

    dy/dx  =x2 y 

    ? dy/y  = ? x2

    logey  =x3/3  +c

    y=1 at x=0

    c=0

    y=ex3/3

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