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Samantha Brown

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2y ago

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What is the difference between a homogeneous and a non-homogeneous differential equation?

a linear first-order differential equation is homogenous if its right hand side is zero & A linear first-order differential equation is non-homogenous if its right hand side is non-zero.


What is complimentary function?

The complementary function, often denoted in the context of solving differential equations, refers to the general solution of the associated homogeneous equation. It represents the part of the solution that satisfies the differential equation without any external forcing terms. In the context of linear differential equations, the complementary function is typically found by solving the homogeneous part of the equation, which involves determining the roots of the characteristic equation. This solution is then combined with a particular solution to obtain the complete solution to the original non-homogeneous equation.


The value 11.7 represents the of the graph of the following linear regression equation?

slope


What is it called when the linear it doesn't go through the origin?

When a linear equation does not pass through the origin, it is referred to as a "non-homogeneous" linear equation. In this case, the equation typically takes the form (y = mx + b), where (b) is the y-intercept. The presence of the y-intercept indicates that the line is shifted vertically away from the origin. If (b) is not zero, the line will not intersect the origin (0,0).


What is non trivial solution of non homogeneous equation?

A non-trivial solution of a non-homogeneous equation is a solution that is not the trivial solution, typically meaning it is not equal to zero. In the context of differential equations or linear algebra, a non-homogeneous equation includes a term that is not dependent on the solution itself (the inhomogeneous part). Non-trivial solutions provide meaningful insights into the behavior of the system described by the equation, often reflecting real-world phenomena or constraints.


Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


What is type of data connection?

data is collection of data nd is many type linear non linear homogeneous non homogeneous etc


What strategies can you use to solve a linear equation such as?

One useful strategy is having started a question to complete it.


What is 306g is equal too 22.5?

It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.It appears to be a linear equation in the variable, g.


What is the definition for linear form?

Linear Form is a homogeneous polynomial of the first degree.


How do you figure out if an equation is a linear equation?

An equation is linear if the highest power of the unknown in the equation is 1for example an equation with just a variable to the power one such as x, y and so on is linear but one with x2, y2 and above is not linear


Why are linear equation named linear equation?

Y = 5X - 3It form a linear function; a line.