`(y+3x^2)(d x)/(d y)=x`

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

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(d)=y b.(y)/(3) c.(y)/(9) d.(y)/(27)

Solve the differential equation (x d y-y d x) y sin (y/x)=(y d x+x d y) x cos (y/x)

If x^2 + 6xy + y^2 = 10, show that ( d^2 y)/(d x^2 ) = frac{80}{ (3x+y)^3 }

if y=ae^(x)+be^(-3x)+c , then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2)))/((dy)/(dx)) is

if y=ae^(x)+be^(-3x)+c , then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2)))/((dy)/(dx)) is