In which of the following is `y=f(x)` the point of inflection? (a) dy/dx must be zero (b) dy/dx must be non-zero (c) d^2y/dx^2 must be zero (d) d^2y/dx^2 must be non-zero

Which of the following equation(s) is/are linear? (a) dy/dx+y/x=lnx (b) y(dy/dx)+4x=0 (c)(2x+y^3)(dy/dx)=3y (d)N.O.T.

In which of the following differential equation degree is not defined? (a) (d^2y)/(dx^2)+3(dy/dx)^2=xlog((d^2y)/(dx^2)) (b) ((d^2y)/(dx^2))^2+(dy/dx)^2=xsin((d^2y)/(dx^2)) (c) x=sin((dy/dx)-2y),|x|<1 (d) x-2y=log(dy/dx)

((dy)/(dx))^(2) + 2y cot x (dy)/(dx) = y^(2) has the solution

Find the order and degree, if defined, of each of the following differential equations: (i) (dy)/(dx) - cos x = 0 (ii) xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0 (iii) y''' + y^(2) + e^(y)' = 0

Find the solution of the differential equation: (d^2y)/dx^2 + 4(dy)/(dx)+3y=0

y dx + (x - y^(2))dy = 0

The degree of the differential equation (d^(2)y)/(dx^(2)) x = sqrt(y + (dy)/(dx)) is :

Which of the following is not the differential equation of family of curves whose tangent form an angle of pi/4 with the hyperbola xy= c^2 ? (a) dy/dx=(x-y)/(x+y) (b)dy/dx=(x)/(x-y) (c)dy/dx=(x+y)/(x-y) (d)N.O.T.