1
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The solution of $$x{{dy} \over {dx}} + y = {x^4}$$ with condition $$y\left( 1 \right) = {6 \over 5}$$
A
$$y = {{{x^4}} \over 5} + {1 \over x}$$
B
$$y = {{4{x^4}} \over 5} + {4 \over {5x}}$$
C
$$y = {{{x^4}} \over 5} + 1$$
D
$$y = {{{x^5}} \over 5} + 1$$
2
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
Given that $$\mathop x\limits^{ \bullet \bullet } + 3x = 0$$ and $$x\left( 0 \right) = 1,\,\,\mathop x\limits^ \bullet \left( 0 \right) = 1,$$ What is $$x(1)$$ ________.
A
$$-0.99$$
B
$$-0.16$$
C
$$0.41$$
D
$$0.99$$
3
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
The solution of $${{d\,y} \over {d\,x}} = {y^2}$$ with initial value $$y(0)=1$$ is bounded in the interval is
A
$$- \infty \le x \le \propto$$
B
$$- \infty \le x \le 1$$
C
$$x < 1,x > 1$$
D
$$- 2 \le x \le 2$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
The partial differential equation $$\,\,{{{\partial ^2}\phi } \over {\partial {x^2}}} + {{{\partial ^2}\phi } \over {\partial {y^2}}} + {{\partial \phi } \over {\partial x}} + {{\partial \phi } \over {\partial y}} = 0\,\,\,\,$$ has
A
degree $$1$$ and order $$2$$
B
degree $$1$$ and order $$1$$
C
degree $$2$$ and order $$1$$
D
degree $$2$$ and order $$2$$
GATE ME Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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UPSC Civil Service
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NDA
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Class 12