The order of the differential equation of the family of curves `y=k_(1)2^(k_(2)x)+k_(3)3^(x+k_(4))` is (where, `k_(1),k_(2), k_(3), k_(4)` are arbitrary constants)

Find the order of differential equation whose general solution is given by y=(k_(1)+k_(2))tan(x+k_(3))-k_(4)e^(x)+k_(5) where k_(1),k_(2),k_(3),k_(4),k_(5) are arbitrary constants.

The differential equation of the family of curves y=k_(1)x^(2)+k_(2) is given by (where, k_(1) and k_(2) are arbitrary constants and y_(1)=(dy)/(dx), y_(2)=(d^(2)y)/(dx^(2)) )

The differential equation of the family of curves y=k_(1)x^(2)+k_(2) is given by (where, k_(1) and k_(2) are arbitrary constants and y_(1)=(dy)/(dx), y_(2)=(d^(2)y)/(dx^(2)) )

The order and degree of the differential equation representing the family of curves y^(2)=2k(x+sqrt(k)) are respectively -

60.A consecutive reaction occurs with two equilibria which co-exist together P(k_(1))/(k_(2) Q (k_(3))/(k_(4) R Where k_(1) , k_(2) , k_(3) and k_(4) are rate constants.Then the equilibrium constant for the reaction P harr R is (1) (k_(1)*k_(2)) / (k_(3)*k_(4) ) (2) (k_(1)*k_(4)) / (k_(2)k_(3) ) (3) k_(1) * k_(2) * k_(3)*k_(4) (4) (k_(1)*k_(3)) / (k_(2)k_(4)) ]]

Find the differential equation of the circles represented by y = k(x + k)^(2) where k is an arbitrary constant.

Find the differential equation of the circles represented by y = k(x + k)^(2) where k is an arbitrary constant.

A particle moves in the plane x y with constant acceleration a directed along the negative y-axis. The equation of motion of the particle has the form y = k_(1)x-k_(2)x^(2) , where k_(1) and k_(2) are positive constants. Find the velocity of the particle at the origin of coordinates.