1
GATE CE 2001
MCQ (Single Correct Answer)
+2
-0.6
The solution for the following differential equation with boundary conditions $$y(0)=2$$ and $$\,\,{y^1}\left( 1 \right) = - 3$$ is where $${{{d^2}y} \over {d{x^2}}} = 3x - 2$$
A
$$y = {{{x^3}} \over 3} - {{{x^2}} \over 2} = 3x - 2$$
B
$$y = 3{x^3} - {{{x^2}} \over 2} - 5x + 2$$
C
$$y = {{{x^3}} \over 2} - {x^2} - 5{x \over 2} + 2$$
D
$$y = {x^3} - {{{x^2}} \over 2} + 5x + {3 \over 2}$$
2
GATE CE 1998
Subjective
+2
-0
Solve $${{{d^4}y} \over {d{x^4}}} - y = 15\,\cos \,\,2x$$
3
GATE CE 1997
MCQ (Single Correct Answer)
+2
-0.6
The differential equation $${{dy} \over {dx}} + py = Q,$$ is a linear equation of first order only if,
A
$$P$$ is a constant but $$Q$$ is a function of $$y$$
B
$$P$$ and $$Q$$ are functions of $$y$$ (or) constants
C
$$P$$ is a function of $$y$$ but $$Q$$ is a constant
D
$$P$$ and $$Q$$ are functions of $$x$$ (or) constants
4
GATE CE 1996
Subjective
+2
-0
Solve $${{{d^4}v} \over {d{x^4}}} + 4{\lambda ^4}v = 1 + x + {x^2}$$
GATE CE Subjects
Fluid Mechanics and Hydraulic Machines
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