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Recent questions tagged solving-using-separation-of-variables
Questions
Find the general solution of $xy' - 2y = x^2$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
easy
asked
Mar 20, 2014
by
balaji.thirumalai
1
answer
Solve : $ x \large\frac{dy}{dx}- \frac{y}{2}$$=x(\sin ^{-1}x) y^5$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q77
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution : $ (1+x^4) \large\frac{dy}{dx}$$-4x^3y =(x^5+x) \tan ^{-1} (x^2) \qquad y(1)=\pi$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q76
medium
asked
Feb 6, 2014
by
meena.p
1
answer
The initial value problem governing the current i following in an RL circuit when a step voltage of magnitude $\in$ is applied to circuit at $t=0$ is given by (R, L, t are constants ) $iR= \large\frac{Ldi}{dt} $$=\in, t > 0, i(0)=0$ Determine limiting value of i as $t \to \infty$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q59
medium
asked
Feb 6, 2014
by
meena.p
1
answer
Observation show that rate of change of atmosphere pressure P with attitude h is proportional to pressure. Assume that pressure at 6000 meter is half of its value $P_0$ at sea level, find formula for pressure at any height.
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q56
easy
asked
Feb 6, 2014
by
meena.p
1
answer
Find the solution : $y (\log x-1) y dx=x dy $
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q52
medium
asked
Feb 5, 2014
by
meena.p
1
answer
The graph of the function $y=f(x)$ passing through the point $(0,1)$ and satisfy the differential equation $\large\frac{dy}{dx}$$+y \cos x =\cos x $ is such that
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q47
difficult
asked
Feb 5, 2014
by
meena.p
1
answer
General solution of differential equation: $r \sin \theta\; d\theta +(r^3 -2 r^2 \cos \theta +\cos \theta)dr=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q40
difficult
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation: $\large\frac{dy}{dx}$$+x \sin 2y=x^3 \cos ^2 y$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q32
medium
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation: $x \large\frac{dy}{dx}$$+y=x^3 y^6$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q31
medium
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation : $(1+y^2)dx =(\tan^{-1}y -x)dy$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q30
medium
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equation ; $\large\frac{ydy}{xdx}+\frac{2(x^2+y^2)-1}{(x^2+y^2+1)}=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q29
medium
asked
Feb 4, 2014
by
meena.p
1
answer
General solution of differential equations: $\large\frac{dy}{dx}$$=e^{3x-2y}+x^2e^{-2y}$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q27
easy
asked
Feb 4, 2014
by
meena.p
1
answer
Differential equation of all circles radius 5, with their centres on the y-axis.
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q26
easy
asked
Feb 4, 2014
by
meena.p
1
answer
Different equation of all parabola with x axis as the axis and $(a,0)$ as the focus
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q24
difficult
asked
Feb 3, 2014
by
meena.p
1
answer
Solution of the general equation : $\large\frac{dy}{dx}$$=\cos (x+y) - \sin (x+y) $
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q21
difficult
asked
Feb 3, 2014
by
meena.p
1
answer
General solution of differential equation : $ (1-x^2)(1-y)dx -xy (1+y) dy=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q15
medium
asked
Feb 3, 2014
by
meena.p
1
answer
General solution of differential equation : $x^2e^y dy - (x-1) e^x dx=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q13
difficult
asked
Feb 3, 2014
by
meena.p
1
answer
General solution of differential equation $x dy -y dx=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q12
easy
asked
Feb 3, 2014
by
meena.p
1
answer
General solution of differential equation : $x dy +y dx=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q11
easy
asked
Feb 3, 2014
by
meena.p
1
answer
2 separate reservation of oil A and B (capacity of $A=2 \times $ capacity of B) are filled completely with oil and oil is released simultaneously from both the reservoirs. The rate of flow of oil out of each reservoir at an instant of time is proportional to the quantity of oil in the reservoir at that time one hour after the oil is released the quantity of oil in reservoir A is 1.5 times the quantity of oil in reservoir B. If the reservoirs have same quantity of oil after $t= \large\frac{\log a}{\log b -\log c}$ then $a+b-c$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q10
difficult
asked
Feb 3, 2014
by
meena.p
1
answer
General solution of differential equations: $e^y dx+(xe^y-2y)dy=0$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q9
medium
asked
Feb 3, 2014
by
meena.p
1
answer
General solution of differential equation: $\large\frac{xdy}{x^2+y^2} $$+\bigg(1- \large\frac{y}{x^2+y^2} \bigg)$$dx=0$ is
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q8
difficult
asked
Feb 3, 2014
by
meena.p
1
answer
If $x= \cos^{-1} \bigg( \large\frac{1}{\sqrt {1+t^2}}\bigg) $ and $\; y= \sin ^{-1} \bigg( \large\frac{1}{\sqrt {1+t^2}}\bigg) $ then $\large\frac{dy}{dx}$
jeemain
math
class12
ch9
differential-equations
solving-using-separation-of-variables
q5
medium
asked
Jan 31, 2014
by
meena.p
1
answer
Solution of differential equation: $X^2= 1+\large\frac{1}{2} \bigg( \large\frac{x}{y}\bigg)^{-1} \frac{dy}{dx} + \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-2} \bigg(\Large\frac{dy}{dx}\bigg)^{2}}{4 \times 2 \times 1}+ \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-3} \bigg(\Large\frac{dy}{dx}\bigg)^{3}}{8 \times 3 \times 2 \times 1}+ \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-4} \bigg(\Large\frac{dy}{dx}\bigg)^{4}}{16 \times 4 \times 3 \times 2 \times 1}+..........$
jeemain
math
class12
unit9
differential-equations
solving-using-separation-of-variables
q1
difficult
asked
Jan 31, 2014
by
meena.p
1
answer
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