Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The differential equation of x2 + y2 = a2
विकल्प
xdy + ydx = 0
ydx – xdy = 0
ydx – xdy = 0
xdx + ydy = 0
उत्तर
xdx + ydy = 0
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`2xy"d"x + (x^2 + 2y^2)"d"y` = 0
Solve the following differential equation:
`(y^2 - 2xy) "d"x = (x^2 - 2xy) "d"y`
Find the curve whose gradient at any point P(x, y) on it is `(x - "a")/(y - "b")` and which passes through the origin
Solve the following homogeneous differential equation:
`(x - y) ("d"y)/("d"x) = x + 3y`
Solve the following homogeneous differential equation:
The slope of the tangent to a curve at any point (x, y) on it is given by (y3 – 2yx2) dx + (2xy2 – x3) dy = 0 and the curve passes through (1, 2). Find the equation of the curve
Solve the following:
`("d"y)/("d"x) + (3x^2)/(1 + x^3) y = (1 + x^2)/(1 + x^3)`
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Solve `x ("d"y)/(d"x) + 2y = x^4`
A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ’m’ of intervals between overhauls by the equation `"m"^2 "dC"/"dm" + 2"mC"` = 2 and c = 4 and when = 2. Find the relationship between C and m
Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`