Recent questions tagged ch9

The differential equation for the family of curves $x^2+y^2-2ay=0$ where a is an arbitary constant is given $y'= \large\frac{dy}{dx}$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $r \sin \theta\; d\theta +(r^3 -2 r^2 \cos \theta +\cos \theta)dr=0$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx}$$=xe^{y-x^2}$

asked Feb 4, 2014 by meena.p

1 answer

Solve the differential equation $\large\frac{dy}{dx}$$=cos(x+y)+sin(x+y)$ and find the particular solution if $y(0)=0$

asked Feb 4, 2014 by rvidyagovindarajan_1

1 answer

General solution of differential equation: $(x+1) \large\frac{dy}{dx}$$-y = (x+1)^2$

asked Feb 4, 2014 by meena.p

1 answer

General solution of equations : $\large\frac{dy}{dx}$$+py=0$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx}=\frac{y+x-2}{y-x-4}$

asked Feb 4, 2014 by meena.p

1 answer

Solution of differential equation : $y(2xy+e^x)dx=e^xdy$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $\large\frac{dy}{dx} =\frac{2x+3y+6}{4x+6y+7}$

asked Feb 4, 2014 by meena.p

1 answer

Solution of differential equation : $\large\frac{dx}{dy}=\frac{y+x-2}{y+x+4}$

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$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation: $x \large\frac{dy}{dx}$$+y=x^3 y^6$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation : $(1+y^2)dx =(\tan^{-1}y -x)dy$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equation ; $\large\frac{ydy}{xdx}+\frac{2(x^2+y^2)-1}{(x^2+y^2+1)}=0$

asked Feb 4, 2014 by meena.p

1 answer

$\large\frac{dy}{dx}$$=(4x+y+1)^2$ if $dy(0)=1$

asked Feb 4, 2014 by meena.p

1 answer

General solution of differential equations: $\large\frac{dy}{dx}$$=e^{3x-2y}+x^2e^{-2y}$

asked Feb 4, 2014 by meena.p

1 answer

Differential equation of all circles radius 5, with their centres on the y-axis.

asked Feb 4, 2014 by meena.p

1 answer

General solution of following differential $\in a ^n$ differential equations of a family of circles passing through the origin and having centre on the x axis

asked Feb 3, 2014 by meena.p

1 answer

Different equation of all parabola with x axis as the axis and $(a,0)$ as the focus

asked Feb 3, 2014 by meena.p

1 answer

Differential equation of all parabola with x axis as the axis and 4a as latus rectum .

asked Feb 3, 2014 by meena.p

1 answer

The differential equation of the following equation $y=ae^{2x} +be^{-3 x} +ce^{x}$

asked Feb 3, 2014 by meena.p

1 answer

Solution of the general equation : $\large\frac{dy}{dx}$$=\cos (x+y) - \sin (x+y) $

asked Feb 3, 2014 by meena.p

1 answer

Find the degree of the following differential equation $\bigg(\large\frac{d^2 y}{dx^2}\bigg)^{1/2} =\bigg( \large\frac{dy}{dx}+3\bigg)^{1/3}$

asked Feb 3, 2014 by meena.p

1 answer

$\large\frac{dy}{dx} =\large\frac{y+x+1}{y+x +5}$

asked Feb 3, 2014 by meena.p

1 answer

Find the solution of differential equation : $\large\frac{dy}{dx}=\frac{x^2+y^2}{xy}$

asked Feb 3, 2014 by meena.p

1 answer

Let $g(n) $ is a continuous differential function which takes positive value for $ x \leq 0$ and satisfy $\int \limits_0^2 g(t) dt = x \sqrt {g(x)} $ with $f(1) =V_2$. find the value of $f(\sqrt 2 +1)$

asked Feb 3, 2014 by meena.p

1 answer

Given $y(0) =2000$ and $\large\frac{dy}{dx} =3200-20y^2$ then find the value of $\displaystyle\lim _{x \to \infty} y(n)$

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$

asked Feb 3, 2014 by meena.p

1 answer

Solve: $xe^y dy -e^y dx=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation : $x^2e^y dy - (x-1) e^x dx=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation $x dy -y dx=0$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equation : $x dy +y dx=0$

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 $a+b-c$

asked Feb 3, 2014 by meena.p

1 answer

General solution of differential equations: $e^y dx+(xe^y-2y)dy=0$

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

asked Feb 3, 2014 by meena.p

1 answer

General solution of $(2x^3-xy^2)dx+(2y^3-x^2y)dy=0$ is

asked Feb 3, 2014 by meena.p

1 answer

If $x= \sec \theta -\cos \theta $ and $y=\sec^n \theta -\cos ^n \theta$ then $\bigg(\large\frac{dy}{dx}\bigg)^2=$

asked Jan 31, 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 $\large\frac{dy}{dx}$

asked Jan 31, 2014 by meena.p

1 answer

If $x^2+y^2=t-\large\frac{1}{t} ,$$x^4+y^4 =t^2+\large\frac{1}{t^2}$ then $\large\frac{dy}{dx}$

asked Jan 31, 2014 by meena.p

1 answer

If $\phi (x) =f(x) g(x),$ where $f'(x) g'(x) =c$ and $ \large\frac {\phi ''}{\phi} =\frac {f''}{f} +\frac{g''}{g}+\frac{Kc}{fg}$ then value of K.

asked Jan 31, 2014 by meena.p

1 answer

If $a, b, c$ are in $GP$ and equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root, then $\large\frac{d}{a}$, $\large\frac{e}{b}$, $\large\frac{f}{c}$ are in

asked Jan 24, 2014 by yamini.v

1 answer

If $\large\frac{a_{2}a_{3}}{a_{1}a_{4}}$ = $\large\frac{a_{2}+a_{3}}{a_{1}+a_{4}}$ = $3\;(\large\frac{a_{2}-a_{3}}{a_{1}-a_{4}})$, then, $a_{1}$, $a_{2}$, $a_{3}$, $a_{4}$ are in

asked Jan 24, 2014 by yamini.v

1 answer

If $(m+n)^{th}$, $(n+1)^{th}$, $(r+1)^{th}$ term of an AP are in GP and $m, n, r$ are in HP, then ratio of first term of AP to common difference is

asked Jan 24, 2014 by yamini.v

1 answer