1
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The general solution of the differential equation $$\left( {1 + {e^{{x \over y}}}} \right)dx + \left( {1 - {x \over y}} \right){e^{x/y}}dy = 0$$ is (C is an arbitrary constant)
A
$$x - y{e^{{x \over y}}} = C$$
B
$$y - x{e^{{x \over y}}} = C$$
C
$$x + y{e^{{x \over y}}} = C$$
D
$$y + x{e^{{x \over y}}} = C$$
2
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
General solution of $${(x + y)^2}{{dy} \over {dx}} = {a^2},a \ne 0$$ is (C is an arbitrary constant)
A
$${x \over a} = \tan {y \over a} + C$$
B
$$\tan xy = C$$
C
$$\tan (x + y) = C$$
D
$$\tan {{y + C} \over a} = {{x + y} \over a}$$
3
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The differential equation representing the family of curves $${y^2} = 2d(x + \sqrt d )$$, where d is a parameter, is of
A
order 2
B
degree 2
C
degree 3
D
degree 4
4
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let y(x) be a solution of

$$(1 + {x^2}){{dy} \over {dx}} + 2xy - 4{x^2} = 0$$. Then y(1) is equal to
A
$${1 \over 2}$$
B
$${1 \over 3}$$
C
$${1 \over 6}$$
D
$$-$$1
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