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Mathematics Test - 20
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  • Question 1/10
    5 / -1
    Which of the following equation is non-linear?
  • Question 2/10
    5 / -1
    Find the integral factor of \(\rm {dy\over dx}+ y \sec^2 x = 3\cos x\)
  • Question 3/10
    5 / -1
    What are the order and degree, respectively, of the differential equation \({\left( {\frac{{{{\rm{d}}^3}{\rm{y}}}}{{{\rm{d}}{{\rm{x}}^3}}}} \right)^2} = {{\rm{y}}^4} + {\left( {\frac{{{\rm{dy}}}}{{{\rm{dx}}}}} \right)^5}?\)
  • Question 4/10
    5 / -1
    The solution of the equation \(\frac {dy}{dx} = e^{x + y} + x^2e^y\) is
  • Question 5/10
    5 / -1
    The solution of the differential equation \(\rm x \dfrac{dy}{dx}-y=3\) represents a family of:
  • Question 6/10
    5 / -1
    Solve: \(\frac {dy}{dx} \cos (x - y) = 1\)
  • Question 7/10
    5 / -1
    The order and degree of the differential equation \(\rm \frac{d^3y}{dx^3} + \cos\left(\frac{d^2y}{dx^2}\right) = 0\) are respectively
  • Question 8/10
    5 / -1
    If particle moves along a straight line with velocity given by \(\frac{{dy}}{{dt}} = 1 + y\), where ‘y’ is distance travelled, then time taken by the particle to travel distance of 999 meter is
  • Question 9/10
    5 / -1
    The differential equation of the family of circles passing through the origin and having centres on the x-axis is
  • Question 10/10
    5 / -1
    The solution of \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}} = \sqrt {1 - {{\rm{x}}^2} - {{\rm{y}}^2} + {{\rm{x}}^2}{{\rm{y}}^2}} \) is
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