`(dy)/(dx)=(d(1/(x-3)))/(dx)`

y^2+x^2(dy)/(dx)=x y(dy)/(dx)

STATEMENT -1 : for the function y= f(x), f(x) ,({1+((dy)/dx)^(2)}^(3/2))/((d^(2)y)/(dx^(2))) = - ({1+ (dx/dy)^(2)}^(3/2))/((d^(2)x)/(dy^(2))) STATEMENT -2 : (dy)/(dx) = (1/(dx))/dy and (d^(2)y)/(dx^(2)) = d/dx (dy/(dx))

The degree of the differential equation x=1+((dy)/(dx))+1/(2!)((dy)/(dx))^2+1/(3!)((dy)/(dx))^3+............. (A) 3 (B) 2 (C) 1 (D) not defined

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^(e^(3)y)/(dx^(3))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)(dy)/(dx)=x+y , iv) log_(e)(dy)/(dx)=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0

If y=xlog(x/(a+b x)),t h e nx^3(d^2y)/(dx^2)= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^2 y(dy)/(dx)-x (d) (y(dy)/(dx)-x)^2

The solution of (dy)/(dx)=((y)/(x))^(1//3) , is

(dy)/(dx)=(x+y+1)/(2x+2y+3)

The solution of differential equation x^2=1 +(x/y)^(-1)(dy)/(dx)+((x/y)^-2((dy)/(dx))^2)/(2!)+((x/y)^(-3)((dy)/(dx))^3)/(3!)+... i s

Find dy/dx using the rule dy/dx=(dy)/(du)⋅(du)/(dv)⋅(dv)/(dx) : y=cos^(-1)sqrt(2x-3)

The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)