The differential equation corresponding to y = kx is
y = x. dy/dx
y = k. dy/dx
dy/dx = k. dy/dx
y = kx + c
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
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
Solution of (x2 + 3xy + y2) dx - x2dy = 0 is
None of these
The differential equation for which y = a cosx + b sinx is a solution of
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 degree of the differential equation of y = Ax + A3 is
1
2
3
4
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 particular solution of edy/dx = x + 1 given that x = 0, y = 3 is
y = x log (x + 1) - x + 3
y = (x + 1) log (x + 1) - x + 3
y = (x + 1) log (x + 1) - x + 2
y = (x + 1) log (x + 1) - x + 1
