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  • Solve this problem Which of the followings does not represent a differential equation?

Which of the followings does not represent a differential equation?

  • Option 1)

    \frac{\mathrm{d^{2}y} }{\mathrm{d} x^{2}}+xy=1

  • Option 2)

    \frac{\mathrm{d^{2}y} }{\mathrm{d} x^{2}}+\frac{dy}{dx}= x

  • Option 3)

    \frac{dy}{dx}-xy=2

  • Option 4)

    x^{2}-y^{2}= 2

 

Answers (1)

best_answer

As we learnt

 

Differential Equations -

 

An equation involving independent variable (x), dependent variable (y) and derivative of dependent variable with respect to independent variable 
\left (\frac{\mathrm{d} y}{\mathrm{d} x} \right )

- wherein

eg:

  \frac{d^{2}y}{dx^{2}}- 3\frac{dy}{dx}+5x=0

 

 (D) is the only option, which do not involve derivative of dependent variable with respect to independent variable.

 


Option 1)

\frac{\mathrm{d^{2}y} }{\mathrm{d} x^{2}}+xy=1

Option 2)

\frac{\mathrm{d^{2}y} }{\mathrm{d} x^{2}}+\frac{dy}{dx}= x

Option 3)

\frac{dy}{dx}-xy=2

Option 4)

x^{2}-y^{2}= 2

Posted by

Himanshu

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