JEE MAIN Differential Equation Previous Year Questions (PYQs) – Page 11 of 16
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
Study Stuff for MCA Examinations
Showing 152 questions
Let x = x(y) be the solution of the differential equation $2y\,{e^{x/{y^2}}}dx + \left( {{y^2} - 4x{e^{x/{y^2}}}} \right)dy = 0$ such that x(1) = 0. Then, x(e) is equal to :
1
2
3
4
Solution
The solution of the differential equation
$x\dfrac{dy}{dx} + 2y = x^2 \ (x \ne 0)$ with $y(1) = 1$, is:
1
2
3
4
Solution
Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 $\tan x(\cos x - y)$. If the curve passes through the point $\left( {{\pi \over 4},0} \right)$, then the value of $\int\limits_0^{\pi /2} {y\,dx} $ is equal to :
1
2
3
4
Solution
The solution curve of the differential equation
$y\dfrac{dx}{dy}=x(\log_e x-\log_e y+1),\ x>0,\ y>0,$
passing through the point $(e,1)$ is:
1
2
3
4
Solution
Let $\displaystyle \int_{0}^{x}\sqrt{1-\big(y'(t)\big)^{2}},dt=\int_{0}^{x}y(t),dt,\ 0\le x\le 3,\ y\ge0,\ y(0)=0$.
Then at $x=2$, $,y''+y+1$ is equal to:
1
2
3
4
Solution
If $\cos x{{dy} \over {dx}} - y\sin x = 6x$, (0 < x < ${\pi \over 2}$)
and $y\left( {{\pi \over 3}} \right)$ = 0 then $y\left( {{\pi \over 6}} \right)$ is equal to :
and $y\left( {{\pi \over 3}} \right)$ = 0 then $y\left( {{\pi \over 6}} \right)$ is equal to :
1
2
3
4
Solution
If a curve $y = f(x)$ passes through the point $(1,-1)$ and satisfies the differential equation
$ y(1+xy),dx = x,dy $,
then $ f\left(-\dfrac{1}{2}\right) $ is equal to:
1
2
3
4
Solution
Let $x=x(y)$ be the solution of the differential equation
$2(y+2)\log_e(y+2)\,dx+\big(x+4-2\log_e(y+2)\big)\,dy=0,\quad y>-1$
with $x\big(e^{4}-2\big)=1$. Then $x\big(e^{9}-2\big)$ is equal to:
1
2
3
4
Solution
If ${{dy} \over {dx}} = {{{2^{x + y}} - {2^x}} \over {{2^y}}}$, y(0) = 1, then y(1) is equal to :
1
2
3
4
Solution
Let the solution curve of the differential equation
$x{{dy} \over {dx}} - y = \sqrt {{y^2} + 16{x^2}} $, $y(1) = 3$ be $y = y(x)$. Then y(2) is equal to:
1
2
3
4
Solution
JEE MAIN
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
JEE MAIN
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
