1
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

If $$y'' - 3y' + 2y = 0$$ where y(0) = 1, y'(0) = 0, then the value of y at $$x = {\log _e}2$$ is

A
1
B
$$-$$1
C
2
D
0
2
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

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

A
3
B
2
C
1
D
not defined
3
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

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

A
$$y = 2({e^x} + x - 1)$$
B
$$y = 2({e^x} - x - 1)$$
C
$$y = 2({e^x} - x + 1)$$
D
$$y = 2({e^x} + x + 1)$$
4
WB JEE 2010
MCQ (Single Correct Answer)
+1
-0.25

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

A
parabola
B
circle
C
hyperbola
D
straight line
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