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  • Solve it, Which of the following is not a bernoulli's equation ?

Which of the following is not a bernoulli's equation ? 

  • Option 1)

    \frac{dy}{dx} + (\sin x ) y = x\cdot y^2

  • Option 2)

    \frac{dy}{dx} + (\sin x ) y = y\cdot x^2

  • Option 3)

    \frac{dy}{dx} + \sin y = x\cdot y^2

  • Option 4)

    none of these 

 

Answers (1)

best_answer

As we have learned

Bernoulli's Equation -

\frac{dy}{dx}+py =Qy^{n}

- wherein

P,Q are the function of x alone.

 

 

\frac{dy}{dx} +py = Qy ^n  where  P,Q are function of x alone 

\frac{dy}{dx} +px = Qx ^n where  P,Q are function of y alone

Both are bernoulli's equation  , so (A) and (B) are bernoulli's equation 

but (C) is comparable with none of them 

so (C) is not a bernoulli's equation 

 

 

 


Option 1)

\frac{dy}{dx} + (\sin x ) y = x\cdot y^2

Option 2)

\frac{dy}{dx} + (\sin x ) y = y\cdot x^2

Option 3)

\frac{dy}{dx} + \sin y = x\cdot y^2

Option 4)

none of these 

Posted by

Plabita

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