Recent questions tagged p420

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation $( iv)\quad x^2=2y^2 \log y : \qquad (x^2+y^2)\large\frac{dy}{dx}$$-xy=0$

asked Jul 30, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Nov 29, 2012 by sreemathi.v

1 answer

Form the differential equation representing the family of curves given by $(x-a)^2+2y^2\;=\;a^2$, where $a$ is an arbitrary constant

asked Nov 29, 2012 by sreemathi.v

1 answer

Prove that $x^2-y^2\;=\;c(x^2+y^2)^2$is the general solution of differential equation $(x^3-3x\;y^2)dx\;=\;(y^3-3x^2y)dy$ where $c$ is a parameter.

asked Nov 29, 2012 by sreemathi.v

1 answer

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation$\large\frac{dy}{dx}+\sqrt{\frac{1-y^2}{1-x^2}}\;$$=\;0$

asked Nov 29, 2012 by sreemathi.v

1 answer

Show that the general solution of the differential equation$\large\frac{dy}{dx}+\large\frac{y^2+y+1}{x^2+x+1}=0$ is given by $(x+y+1)\;=\;A(1-x-y-2xy)$, where A is parameter

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the equation of the curve passing through the point$\bigg(0,\large\frac{\pi}{4}\bigg)$ whose differential equation is $\sin x\cos y\;dx+\cos x\sin y\;dy\;=\;0$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the particular solution of the differential equation $(1+e^{2x})dy + (1+y^2)e^xdx$ = 0, given that $y = 1$ when $x = 0$

asked Nov 29, 2012 by sreemathi.v

1 answer

Solve the differential equation$y\;e^{\large\frac{x}{y}}\;dx=\bigg(x\;e^{\Large\frac{x}{y}}+y^2\bigg)dy\;(y\neq0)$

asked Nov 29, 2012 by sreemathi.v

1 answer

Find a particular solution of the differential equation $(x-y)(dx+dy) = dx - dy$,given that $ y=\;-1$,when $ x=\;0$

asked Nov 29, 2012 by sreemathi.v

1 answer

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For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation $( iv)\quad x^2=2y^2 \log y : \qquad (x^2+y^2)\large\frac{dy}{dx}$$-xy=0$

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

Form the differential equation representing the family of curves given by $(x-a)^2+2y^2\;=\;a^2$, where $a$ is an arbitrary constant

Prove that \(x^2-y^2\;=\;c(x^2+y^2)^2\)is the general solution of differential equation \((x^3-3x\;y^2)dx\;=\;(y^3-3x^2y)dy\) where \(c\) is a parameter.

Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.

Find the general solution of the differential equation$\large\frac{dy}{dx}+\sqrt{\frac{1-y^2}{1-x^2}}\;$$=\;0$

Show that the general solution of the differential equation\(\large\frac{dy}{dx}+\large\frac{y^2+y+1}{x^2+x+1}=0\) is given by \((x+y+1)\;=\;A(1-x-y-2xy)\), where A is parameter

Find the equation of the curve passing through the point\(\bigg(0,\large\frac{\pi}{4}\bigg)\) whose differential equation is $\sin x\cos y\;dx+\cos x\sin y\;dy\;=\;0$

Find the particular solution of the differential equation $(1+e^{2x})dy + (1+y^2)e^xdx$ = 0, given that $y = 1$ when $x = 0$

Solve the differential equation$y\;e^{\large\frac{x}{y}}\;dx=\bigg(x\;e^{\Large\frac{x}{y}}+y^2\bigg)dy\;(y\neq0)$

Find a particular solution of the differential equation \((x-y)(dx+dy) = dx - dy\),given that \( y=\;-1\),when \( x=\;0\)