Find the differential equation of the family of circles having a common centre (A) `2+(2y(d^2y))/(dx^2)+2((dy)/(dx))^2+(2f)((d^2y))/(dx^2)=0`

Which of the following differential equations has y = x as one of its particular solution? (A) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x (B) (d^2y)/(dx^2)+x(dy)/(dx)+x y=x (C) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0 (D) (d^2y)/(dx^2)+x(dy)/(dx)+x y=0

Form the differential equation by eliminating A,B from y=e^(5x) (Ax+B) is (A) (d^(2)y)/dx^(2) +10(dy /dx) +25y=0 (B) (d^(2)y) /dx^(2) -10(dy /dx)+25y=0 (C) (d^(2)y) /dx^(2) +10(dy /dx) -25y=0 (D) (d^(2)y) /dx^(2) -10(dy /dx) -25y=0

The degree of the differential equation (d^(2)y)/(dx^(2)) + 3((dy)/(dx))^(2) = x^(2) log((d^(2)y)/(dx^(2))) is

What is the degree of differential equation (d^(3)y)/(dx^(3)) + ((dy)/(dx))^(2) - x^(2) "" (d^(2) y)/(dx^(2)) = 0

The order of the differential equation (d^4y)/(dx^4)+((dy)/(dx))^3-y(d^2y)/(dx^2)=0 is

The degree of the differential equation (d^(2)y)/(dx^(2))+3((dy)/(dx))^(2)=x^(2)log((d^(2)y)/(dx^(2))), is

The order of the differential equation [(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(2)]^(-3//2) = k (d^(2)y)/(dx^(2)) is