Advertisements
Advertisements
Question
Choose the correct alternative:
The solution of the differential equation `("d")/("d"x) + 1/sqrt(1 - x^2) = 0` is
Options
y + sin-1x = c
x + sin-1y = 0
y2 + 2sin-1x = c
x2 + 2sin-1y = 0
Advertisements
Solution
y + sin-1x = c
APPEARS IN
RELATED QUESTIONS
Show the following expressions is a solution of the corresponding given differential equation.
y = 2x2 ; xy’ = 2y
Show the following expressions is a solution of the corresponding given differential equation.
y = aex + be–x ; y'' – y = 0
Find the value of m so that the function y = emx solution of the given differential equation.
y” – 5y’ + 6y = 0
The Slope of the tangent to the curve at any point is the reciprocal of four times the ordinate at that point. The curve passes through (2, 5). Find the equation of the curve
Show that y = e–x + mx + n is a solution of the differential equation `"e"^x(("d"^2y)/("d"x^2)) - 1` = 0
Show that y = `"a"x + "b"/x ≠ 0` is a solution of the differential equation x2yn + xy’ – y = 0
Show that y = ae–3x + b, where a and b are arbitrary constants, is a solution of the differential equation `("d"^2y)/("d"x^2) + 3("d"y)/("d"x)` = 0
Show that the differential equation representing the family of curves y2 = `2"a"(x + "a"^(2/3))`, where a is a postive parameter, is `(y^2 - 2xy ("d"y)/("d"x))^3 = 8(y ("d"y)/("d"x))^5`
Show that y = a cos bx is a solution of the! differential equation `("d"^2y)/("d"x^2) + "b"^2y` = 0
Choose the correct alternative:
The general solution of the differential equation `("d"y)/("d"x) = y/x` is
Choose the correct alternative:
The solution of the differential equation `2x ("d"y)/("d"x) - y = 3` represents
