Multiple Choice Questions on Simplify the given differential equation dy dx ky if y 0 c ........ for NDA Exam Preparation

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Multiple Choice Questions

Simplify the given differential equation dy dx ky if y 0 c ........

Mathematics (NDA) Differential Equations
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    Simplify the given differential equation dy/dx =ky ,if y(0)=c?

    y=cekx

    Correct Answer

    y=ce-kx

    Incorrect Answer

     x=c e-ky

    Incorrect Answer

    x=c e-k

    Incorrect Answer
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    Explanation:

    dy/dx  =ky 

    Integrating both sides   dy/y  =k dx

    Log y  =k x  +A

    Y=ekx+A

    Y(0)=eA

    C= eA

    Y=c ekx

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