The solution of the differential equation ydx + (x + x2y) dy = 0 is.
-1/xy = c
log y = cx
1/xy + log y = c
-1/xy + log y = c
The differential equation corresponding to y = kx is
y = x. dy/dx
y = k. dy/dx
dy/dx = k. dy/dx
y = kx + c
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 0
The differential equation representing the family of curves y2 = 2c (x + √c), where c> 0, is a parameter, is of order and degree as follows.
Order 1 and degree 1
Order 1 and degree 2
Order 2 and degree 2
Order 1 and degree 3
The solution of the differential equation y dx - x dy = x2y dx is.
yex2 = cx2
ye - x2 = cx2
y = cxe - x2/2
e-x + e-y = c
Solution of (x2 + 3xy + y2) dx - x2dy = 0 is
None of these
The solution of differential equation x dy - y dx = 0 represents
Rectangular hyperbola
Circle whose center is at origin
Parabola whose vertex is at origin
Straight line passing through origin
The differential equation obtained on eliminating A and B from the equation y = A cos ωt + B sin ωt, is
y" = -ω2y
y" + y = 0
y"+y"=0
y" - ω2y = 0
The solution of dy/dx = ex+y + x2 ey; y(0) = 0 is
The solution of the differential equation cos x cos y dx + sin x sin y dy = 0 is
tan x = c
sin x = c cos y
sec x - sec y = c
cos x = c sin y
