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  • Tell me? which of the following represents a differential equation?

which of the following represents a differential equation?

  • Option 1)

    \frac{y}{x}= x+\sin x

  • Option 2)

    \frac{dy}{dx}= x+\sin x

  • Option 3)

    y=x+\sin x

  • Option 4)

    y^{2}= x+\sin x

 

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

 

 

 

(B) is the only option,it only involves derivative of dependent variable with respect to independent variable.


Option 1)

\frac{y}{x}= x+\sin x

Option 2)

\frac{dy}{dx}= x+\sin x

Option 3)

y=x+\sin x

Option 4)

y^{2}= x+\sin x

Posted by

Himanshu

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