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Recent questions tagged differential-equations

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

Assertion : For the following equation degree $\large\frac{d^4}{dx^4} $$ +\sin \bigg ( \large\frac{d^2y}{dx^2}\bigg)=0$ Reason : Order of DE is the order of highest differentiate coefficient occurring in the equation

asked Jan 31, 2014 by meena.p

1 answer

Solution of differential equation: $X^2= 1+\large\frac{1}{2} \bigg( \large\frac{x}{y}\bigg)^{-1} \frac{dy}{dx} + \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-2} \bigg(\Large\frac{dy}{dx}\bigg)^{2}}{4 \times 2 \times 1}+ \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-3} \bigg(\Large\frac{dy}{dx}\bigg)^{3}}{8 \times 3 \times 2 \times 1}+ \large\frac{\bigg(\Large\frac{x}{y}\bigg)^{-4} \bigg(\Large\frac{dy}{dx}\bigg)^{4}}{16 \times 4 \times 3 \times 2 \times 1}+..........$

asked Jan 31, 2014 by meena.p

1 answer

The rate at which the population of a city increases at any time is propotional to the population at that time. If there were $1,30,000$ people in the city in $1960 $ and $1,60,000$ in $1990$ what population may be anticipated in $2020$.$[\log_{e}(\large\frac{16}{13})=$$.2070;$$e^{.42}=1.52]$

asked Apr 17, 2013 by poojasapani_1

1 answer

Solve the following $(x+y)^2 \large\frac{dy}{dx}$=$1$

asked Apr 15, 2013 by poojasapani_1

1 answer

The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is

asked Jan 19, 2013 by sreemathi.v

1 answer

If $y=e^{-x}(A\cos x+B\sin x)$, then $y$ is a solution of

asked Jan 18, 2013 by sreemathi.v

1 answer

Form the differential equation of all circles which pass through origin and whose centers lie on y-axis as shown below:

asked Jan 18, 2013 by sreemathi.v

1 answer

If $y=y(x)$ satisfies $x\cos y + y\cos x = \pi$, then find $y''(0)$:

asked Jan 3, 2013 by sreemathi.v

1 answer

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