The general solution of the differential equation $\frac{dy}{dx} + y \tan x = \sec x$

The general solution of the differential equation $(x^2 - yx^2)dy + (y^2 + x^2y^2)dx = 0$ is:

The differential equation whose order and degree are 3 and 2 respectively is

The particular solution of the differential equation $\log\left(\frac{dy}{dx}\right)=3x+4y$, given that $y=0$, when $x=0$ is:

The particular solution of the differential equation x(1 + y²)dx - y(1 + x²)dy = 0, y(0) = 1, is:

General solution of the differential equation $(e^x + e^{-x})dy = (3e^{2x} + 3e^{4x})dx$ is:

[Where C is an arbitrary constant]

The equation of the curve that passes through $(-1, 1)$ and the slope of line touching to the curve at any point $(x, y)$ is $\frac{3x^2}{y}$, is: