1
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The order and degree of a differential equation $${{{d^3}y} \over {d{x^3}}} + 4\sqrt {{{\left( {{{dy} \over {dx}}} \right)}^3} + {y^2}} = 0$$ are respectively
A
$$3$$ and $$2$$
B
$$2$$ and $$3$$
C
$$3$$ and $$3$$
D
$$3$$ and $$1$$
2
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The partial differential equation that can be formed from $$z=ax+by+ab$$ has the form $$\,\,\left( {p = {{\partial z} \over {\partial x}},q = {{\partial z} \over {\partial y}}} \right)\,\,$$
A
$$z=px+qy$$
B
$$z=px-qy$$
C
$$z=px+qy+pq$$
D
$$z=qy+pq$$
3
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
Solution of the differential equation $$3y{{dy} \over {dx}} + 2x = 0$$ represents a family of
A
ellipses
B
circle
C
parabolas
D
hyperbolas
4
GATE CE 2007
MCQ (Single Correct Answer)
+1
-0.3
The degree of the differential equation $$\,{{{d^2}x} \over {d{t^2}}} + 2{x^3} = 0\,\,$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
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