The degree of the differential equation of y = Ax + A3 is
1
2
3
4
The solution of the equation (x + 1)2. dy/dx = xex is
(x + 1) y = (x + 1)ex + c(x + 1)
(x + 1)y = (x + 1)ex + c
(x + 1)y = ex + c(x + 1)
y = (x + 1)ex + c (x + 1)
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 ydx + (x + x2y) dy = 0 is.
-1/xy = c
log y = cx
1/xy + log y = c
-1/xy + log y = c
The solution of y' - y = 1 and y(0) = - 1 is given by y (x) is equal to
-1
-exp (-x)
-exp (x)
exp (x) - 2
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 0
Solution of (x2 + 3xy + y2) dx - x2dy = 0 is
None of these
The solution of dy/dx = ex+y + x2 ey; y(0) = 0 is
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
A differential equation whose equation is y = cx + x2, where c is a constant, is
dy/dx = y + x2
dy/dx + y = x2
x.dy/dx - y = x2
x.dy/dx + y/x = x2
