Advertisements
Advertisements
प्रश्न
Find the differential equation of the following:
x2 + y2 = a2
Advertisements
उत्तर
Differentiating w.r. to x
`2x + 2y ("d")/("d"x)` = 0
⇒ `2y ("d"y)/("d"x) = - 2x`
`("d"y)/("d"x) = (-2x)/(2y)`
⇒ `("d"y)/("d"x) = (-x)/y`
`y ("d"y)/("d"x) = -x`
⇒ `x + y ("d"y)/("d"x)` = 0
APPEARS IN
संबंधित प्रश्न
Find the order and degree of the following differential equation:
`("d"y)/("d"x) + 2 = x^3`
Find the order and degree of the following differential equation:
`("d"^3y)/("d"x^3) + 3 (("d"y)/("d"x))^3 + 2 ("d"y)/("d"x)` = 0
Find the order and degree of the following differential equation:
`("d"^2y)/("d"x^2) = sqrt(y - ("d"y)/("d"x))`
Find the differential equation of the following:
y = cx + c – c3
Find the differential equation of the following:
y = c(x – c)2
Form the differential equation by eliminating α and β from (x – α)2 + (y – β)2 = r2
Find the differential equation of all circles passing through the origin and having their centers on the y axis
Choose the correct alternative:
The order and degree of the differential equation `sqrt(("d"^2y)/("d"x^2)) = sqrt(("d"y)/("d"x) + 5)` are respectively
Choose the correct alternative:
The order and degree of the differential equation `(("d"^2y)/("d"x^2))^(3/2) - sqrt((("d"y)/("d"x))) - 4 = 0` are respectively
Choose the correct alternative:
The differential equation formed by eliminating a and b from y = aex + be-x is
