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A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

Ordinary differential equations or (ODE) are equations where the derivatives are taken with respect to only one variable. That is, there is only one independent variable. Partial differential equations or (PDE) are equations that depend on partial derivatives of several variables.

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

Linear just means that the variable in an equation appears only with a power of one. So x is linear but x2 is non-linear. Also any function like cos(x) is non-linear. In math and physics, linear generally means "simple" and non-linear means "complicated".

Determining if equations are linear - Free Math Videos - Online Tutor YouTube Start of suggested clip End of suggested clip So i'm good with there. But can i rewrite it like this and the answer is yes. If you were to kind ofMoreSo i'm good with there. But can i rewrite it like this and the answer is yes. If you were to kind of look at this. And divide your 5 into x you'd have x over 5 plus 12 over 5..

Classifying Systems of Equations - YouTube YouTube Start of suggested clip End of suggested clip First of all we talk about consistent. And inconsistent consistent means there are solutions. If itMoreFirst of all we talk about consistent. And inconsistent consistent means there are solutions. If it is consistent then we talk about independent. And dependent independent.

Systems of equations are classified as independent with one solution, dependent with an infinite number of solutions, or inconsistent with no solution.

So consistent independent is what you get when there's one unique solution. All right these two areMoreSo consistent independent is what you get when there's one unique solution. All right these two are parallel lines so they don't cross it also looks like there's no solution.

First of all we talk about consistent. And inconsistent consistent means there are solutions. If itMoreFirst of all we talk about consistent. And inconsistent consistent means there are solutions. If it is consistent then we talk about independent. And dependent independent.

Homogeneity of a Linear DE. where Fi(x) F i ( x ) and G(x) are functions of x, the differential equation is said to be homogeneous if G(x)=0 G ( x ) = 0 and non-homogeneous otherwise.