WB JEE 2010 | Differential Equations Question 18 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The degree of the differential equation $$x = 1 + \left( {{{dy} \over {dx}}} \right) + {1 \over {2!}}{\left( {{{dy} \over {dx}}} \right)^2} + {1 \over {3!}}{\left( {{{dy} \over {dx}}} \right)^3} + .....$$

not defined

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The equation of one of the curves whose slope at any point is equal to y + 2x is

$$y = 2({e^x} + x - 1)$$

$$y = 2({e^x} - x - 1)$$

$$y = 2({e^x} - x + 1)$$

$$y = 2({e^x} + x + 1)$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

Solution of the differential equation xdy $$-$$ ydx = 0 represents a

parabola

circle

hyperbola

straight line

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If the displacement, velocity and acceleration of a particle at time t be x, v and f respectively, then which one is true?

$$f = {v^3}{{{d^2}t} \over {d{x^2}}}$$

$$f = - {v^3}{{{d^2}t} \over {d{x^2}}}$$

$$f = {v^2}{{{d^2}t} \over {d{x^2}}}$$

$$f = - {v^2}{{{d^2}t} \over {d{x^2}}}$$

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