Self Studies

Differential Eq...

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  • Question 1
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    The solution of $$\dfrac{dy}{dx}=\dfrac{y}{x}+\tan\left(\dfrac{y}{x}\right)$$.

  • Question 2
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    Solve :

    $$\displaystyle\int (x^x)^x(2xlog_ex+x)dx$$ 

  • Question 3
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    The differential equation of all parabolas having their axis of symmetry with the axis of x is?

  • Question 4
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    If $$c$$ is any arbitrary constant, then the general solution  of differential equation $$ydx-xdy=xydx$$ is  given by -

  • Question 5
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    The solution of the equation $$\dfrac {dy}{dx}+\sqrt {\dfrac { {1-y}^{2} }{ {1-x}^{2} }}=0$$ is 

  • Question 6
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    The solution of $$\dfrac{dy}{dx}=\dfrac{\sqrt{x^2-y^2}+y}{x}$$.

  • Question 7
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    The solution of the differential equations $$\dfrac{dy}{dx}=\dfrac{x-2y+1}{2x-4y}$$ is?

  • Question 8
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    The solution of $$x\sqrt{1+y^2}dx+y\sqrt{1+x^2}dy=0$$.

  • Question 9
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    The solution of $$\dfrac{dy}{dx}=(1+y^2)(1+x^2)^{-1}$$ is?

  • Question 10
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    The solution of $$\dfrac{dy}{dx}=\dfrac{y^2}{xy-x^2}$$.

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