Solve `y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))`

Solve (dy)/(dx)=sin^(2) (x+3y)+5

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

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

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

Solve (dy)/(dx)=e^(x-y)+x^(2)e^(-y) .

Solve (dy)/(dx)=(yphi'(x)-y^(2))/(phi(x)),"where" " "phi(x) is a given function.

Solve (dy)/(dx)+2y=cos x.

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

The equation of the curve passing through (3,4) and satisfying the differential equation. y((dy)/(dx))^(2)+(x-y)(dy)/(dx)-x=0 can be