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  • Can someone help me with this, Which of the following diff eqns will be integrated thrice to obtain its solution?

Which of the following diff eqns will be integrated thrice to obtain its solution?

  • Option 1)

    \left ( \frac{d^{3}y}{dx^{4}} \right )+\left ( \frac{dy}{dx} \right )-x=0

  • Option 2)

    \left ( \frac{d^{2}y}{dx^{2}} \right )-2\left ( \frac{dy}{dx} \right )+1=0

  • Option 3)

    \left ( \frac{d^{3}y}{dx^{3}} \right )+2\left ( \frac{d^{2}y}{dx^{2}} \right )+1=0

  • Option 4)

    \left ( \frac{d^{5}y}{dx^{5}} \right )+xy=0

 

Answers (1)

best_answer

As we learnt

 

Solution of differential equations -

 

In order to obtain the solution of differential equation, we integrate it as many times as the order of the differential equation

-

 

 The differential equation which has order will be integrated thrice to obtain its solution.

 


Option 1)

\left ( \frac{d^{3}y}{dx^{4}} \right )+\left ( \frac{dy}{dx} \right )-x=0

Option 2)

\left ( \frac{d^{2}y}{dx^{2}} \right )-2\left ( \frac{dy}{dx} \right )+1=0

Option 3)

\left ( \frac{d^{3}y}{dx^{3}} \right )+2\left ( \frac{d^{2}y}{dx^{2}} \right )+1=0

Option 4)

\left ( \frac{d^{5}y}{dx^{5}} \right )+xy=0

Posted by

Himanshu

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