Multiple Choice Questions on Simplify the following differential equation dy dx ex y x2 ey ........ for NDA Exam Preparation

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Multiple Choice Questions

Simplify the following differential equation dy dx ex y x2 ey ........

Mathematics (NDA) Differential Equations
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    Simplify the following differential equation dy/dx  =ex+y +x2 ey?

     -3e –y  =3ex  +x2  +3c 

    Incorrect Answer

    3e –y  =3ex  +x3  +3c 

    Incorrect Answer

    -3e –y  =3ex  +x3  +c 

    Incorrect Answer

    -3e –y  =3ex  +x3  +3c 

    Correct Answer
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    Explanation:

    dy/dx  =ex+y +x2 ey

    e-y  dy   =(ex  +x2)dx

    ?  e-y  dy   = ?(  ex  +x2)dx

    - e-y    = ex  +  x 3/3  +c

    -3e –y  =3ex  +x3  +3c 

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