Advertisements
Advertisements
प्रश्न
The solution of `dy/dx + x^2/y^2 = 0` is ______
पर्याय
x3 + y3 = 7
x2 + y2 = c
x3 + y3 = c
x + y = c
उत्तर
The solution of `dy/dx + x^2/y^2 = 0` is x3 + y3 = c
APPEARS IN
संबंधित प्रश्न
Show that the differential equation of which \[y = 2\left( x^2 - 1 \right) + c e^{- x^2}\] is a solution is \[\frac{dy}{dx} + 2xy = 4 x^3\]
Solve the following differential equation:
(xy2 + 2x) dx + (x2 y + 2y) dy = 0
(x + y) (dx − dy) = dx + dy
Solve the following initial value problem:
\[x\frac{dy}{dx} + y = x \cos x + \sin x, y\left( \frac{\pi}{2} \right) = 1\]
At every point on a curve the slope is the sum of the abscissa and the product of the ordinate and the abscissa, and the curve passes through (0, 1). Find the equation of the curve.
The solution of the differential equation \[\frac{dy}{dx} = \frac{ax + g}{by + f}\] represents a circle when
Which of the following is the integrating factor of (x log x) \[\frac{dy}{dx} + y\] = 2 log x?
In the following verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:-
y = ex + 1 y'' − y' = 0
Solve the following differential equation.
`dy/dx + 2xy = x`
Solve the differential equation:
`e^(dy/dx) = x`
x2y dx – (x3 + y3) dy = 0
Solve the differential equation sec2y tan x dy + sec2x tan y dx = 0
Solve `("d"y)/("d"x) = (x + y + 1)/(x + y - 1)` when x = `2/3`, y = `1/3`
Solve the following differential equation y2dx + (xy + x2) dy = 0
Integrating factor of the differential equation `x "dy"/"dx" - y` = sinx is ______.
