Pascal’s law

Pascal’s law, also known as Pascal’s principle, is a fundamental principle in fluid mechanics that states that a change in pressure applied to an enclosed fluid is transmitted uniformly in all directions throughout the fluid, regardless of the shape or size of the container. In other words, if a pressure is applied to a fluid…

Solution of homogeneous differential equations of first order and first degree

A homogeneous differential equation of the first order and first degree is an equation of the form: dy/dx = f(x,y) where f(x,y) is a homogeneous function of degree 1 in x and y. In other words, if we replace y with ky and x with kx for any constant k, the function f(x,y) remains the…