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Recent questions tagged homogeneous-differential-equations

$\large\frac{dy}{dx}$$=1$ passes through $\large[$$0,\large\frac{3}{2}]$ and $ \large\frac{dy}{dx}$$=2$ passes through $[0,1]$ represents two curve which passes through a point whose coordinates are zeroes of a quadratic polynomial . The quadratic equation is gradient polynomial. Find sum of coefficients of $x^3,x^2,x$

asked Feb 7, 2014 by meena.p

1 answer

Eliminate arbitrary constant and obtain differential equation $x^2-y^2= a(x^2+y^2)^2$

asked Feb 7, 2014 by meena.p

1 answer

Find general solution of equation $y'-2y+a=0$ a=fixed

asked Feb 7, 2014 by meena.p

1 answer

Find all values of m for which $y-e^{mx}$ is solution of equation $y'''-2y''-y'+2y=0$

asked Feb 7, 2014 by meena.p

1 answer

The largest internal for which solution of differential equation $\large\frac{dy}{dx}=\sqrt {\large\frac{1-y^2}{(1+x^2)^2}}$ where $y(0)= \large\frac{1}{\sqrt 2}$ holds good is

asked Feb 7, 2014 by meena.p

1 answer

Solve : $\log \bigg(\large\frac{1}{x}.\frac{dy}{dx}\bigg)$$=2x+5y$

asked Feb 7, 2014 by meena.p

1 answer

Form a differential equation represent family of curve given by $y= (c_1+c_2) -\sin (x+c_3)-c_4 e^{x+c_5}$

asked Feb 7, 2014 by meena.p

1 answer

Solve: $ (e^x+e^{-x} )\large\frac{dy}{dx}$$=1- \large\frac{(e^x+e^{-x})^2}{(e^x-e^{-x})}$$y$

asked Feb 6, 2014 by meena.p

1 answer

Solve : $y' +\tan x.y =\tan x \quad y(\large\frac{\pi}{4})$$=1$

asked Feb 6, 2014 by meena.p

1 answer

A ratio active substance dis integrals at a rate proportional to amount of substance present. $50 \%$ of amount disintegrates in $1000$ years. Approximately what $\%$ of substance will disintegrate in $50$ years ?

asked Feb 6, 2014 by meena.p

1 answer

The growth rates of a bacteria population is proportional to its size. Initially the population is $10,000$ while after 10 days its size is $25,000$ . What will be population after 20 days?

asked Feb 6, 2014 by meena.p

1 answer

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

asked Feb 5, 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

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

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

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

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