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Mathematics Test - 8
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  • Question 1/10
    5 / -1
    The order and degree of the differential equation \({\left( {\frac{{{d^4}y}}{{d{x^4}}}} \right)^{\frac{1}{2}}} = {\left[ {1 + {{\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)}^2}} \right]^{\frac{1}{3}}}\) respectively are
  • Question 2/10
    5 / -1
    The differential equation of all lines passing through the origin is:
  • Question 3/10
    5 / -1

    The general solution y(x) of the differential equation 

    \(\rm {dy\over dx}= {\sqrt{1-y^2}\over \sqrt{1-x^2}}\)

  • Question 4/10
    5 / -1

    Find the integrating factor of the following differential equation.

    \(\frac{{dy}}{{dx}} + (2cosec\;x)y = {\tan ^3}\left( {\frac{x}{2}} \right)\)
  • Question 5/10
    5 / -1
    Solve (2y + x) \(\rm dy\over dx\) = 1
  • Question 6/10
    5 / -1
    Find the general solution of the differential equation \(ydx = \left( {y - x} \right)dy\)
  • Question 7/10
    5 / -1
    For the equation \(\frac{{dy}}{{dx}} + 7{x^2}y = 0\), if y(0) = \(\frac{{3}}{{7}}\), then the value of y(1) is
  • Question 8/10
    5 / -1
    Solve the initial value problem, dy = ex + 2y dx , y (0) = 0. 
  • Question 9/10
    5 / -1
    If \(x\frac{dy}{dx}=y(\log y-\log x+1)\), then the solution of the equation is
  • Question 10/10
    5 / -1

    What is the general solution of the differential equation x2 dy + y2 dx = 0 ?

    Where c is the constant of integration

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