Differential equations of the type `dy / dx = f(x)`

Differential Equations of the type (dy)/(dx)=f(y)

General solution of differential equation of f (x) (dy)/(dx) =f ^(2) (x)+yf(x) +f'(x)y is: (c being arbitary constant.)

Solve the following differential equations : y -x (dy)/(dx) =3 (1+x^(2) (dy)/(dx))

Degree of the differential equation e^(dy/dx) = x is

(i) The degree of the differential equation (d^(2)y)/(dx^(2))+e^(dy//dx)=0 is… (ii) The degree of the differential equation sqrt(1+((dy)/(dx))^(2))="x is"....... (iii) The number of arbitrary constant in the general solution of differential equation of order three is.. (iv) (dy)/(dx)+(y)/(x log x)=(1)/(x) is an equation of the type.... (v) General solution of the differential equation of the type is givven by... (vi) The solution of the differential (xdy)/(dx)+2y=x^(2) is.... (vii) The solution of (1+x^(2))(dy)/(dx)+2xy-4xy^(2)=0 is... (viii) The solution of the differential equation ydx+(x+y)dy=0 is .... (ix) Genergal solution of (dy)/dx)+y=sin x is.... (x) The solution of differential equation cot y dx=xdy is.... (xi) The integrating factor of (dy)/(dx)+y=(1+y)/(x) is.....

Solve the following differential equations (dy)/(dx)=x

Solve the following differential equations : x (dy)/(dx)=y-x

The solution of the differential equation x dx + y dy+ (x dy - y dx)/(x^(2)+y^(2))=0 is