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  • Help me solve this Which of the following represents a second order differential equation?

Which of the following represents a second order differential equation?

  • Option 1)

    \frac{\mathrm{d} y}{\mathrm{d} x} = \ln x

  • Option 2)

    \frac{\mathrm{d}^{3} y}{\mathrm{d} x^3} + \frac{\mathrm{d} y}{\mathrm{d} x} = x

  • Option 3)

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

  • Option 4)

    \frac{\mathrm{d}^{4} y}{\mathrm{d} x^4} = x

 

Answers (1)

best_answer

As we have learnt,

 

Second Order Differential Equation -

\frac{d^{2}y}{dx^{2}}= f\left ( x \right )

- wherein

\frac{d^{2}y}{dx^{2}}= \sin x

 

 Only (C) has highest derivative two, so order will be two

 


Option 1)

\frac{\mathrm{d} y}{\mathrm{d} x} = \ln x

Option 2)

\frac{\mathrm{d}^{3} y}{\mathrm{d} x^3} + \frac{\mathrm{d} y}{\mathrm{d} x} = x

Option 3)

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

Option 4)

\frac{\mathrm{d}^{4} y}{\mathrm{d} x^4} = x

Posted by

Himanshu

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