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Given the poor quality of this browser, it is difficult to illustrate the example sensibly but here is the best that I can do.
The general form is Ly = f(x) where L is a linear operator, y is the unknown function of x, and f is the given function.
L is of the form dny/dxn + g1(x)*dn-1y/dxn-1 + ... + gn-1(x)*dy/dx + gn(x)*y
What else can I help you with?
General form of linear equation?
y = mx + b
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
What is the general for of a linear equation?
The most general form of a linear equation, in n-dimentional space, is y = sum(mixi) + c where the summation is over i = 1,2,3,...,n-1 The simpler (2-dimensional) version of the linear equation is y = mx + c where m is the slope and c is the y-intercept.
How do you do standard form of a linear equation if there is not a c?
aX+bY+cZ=0 Is a type of linear equation.
Is there an instance that a linear equation is not a function?
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
General form of linear equation?
y = mx + b
Which is the correct form for a linear equation?
The general form is for a linear equation in n variables is SUM aixi = b (i = 1,2,3,...,n) where xi are the variables and the ai are constant coefficients.
What is Exact ordinary differential equation?
exact differential equation, is a type of differential equation that can be solved directly with out the use of any other special techniques in the subject. A first order differential equation is called exact differential equation ,if it is the result of a simple differentiation. A exact differential equation the general form P(x,y) y'+Q(x,y)=0Differential equation is a mathematical equation. These equation have some fractions and variables with its derivatives.
What is standard form linear equation's?
A standard form of a linear equation would be: ax + by = c
What is the general for of a linear equation?
The most general form of a linear equation, in n-dimentional space, is y = sum(mixi) + c where the summation is over i = 1,2,3,...,n-1 The simpler (2-dimensional) version of the linear equation is y = mx + c where m is the slope and c is the y-intercept.
Why are linear equation named linear equation?
Y = 5X - 3It form a linear function; a line.
How do you write an equation in General Linear form when given in slope intercept form?
The slope intercept form of the equation of a line is: y = mx + b The general form is: Ax + By + C = 0 So, when the line is given in the slope intercept form, the general form will be mx - y + b = 0
How do you do standard form of a linear equation if there is not a c?
aX+bY+cZ=0 Is a type of linear equation.
What is the form of a linear equation?
x = 1
Is there an instance that a linear equation is not a function?
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
What is the difference between linear and quadratic equations?
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
In linear differential equation meaning of product term of y?
In a linear differential equation, the product term of the dependent variable ( y ) and its derivatives must be linear, meaning that ( y ) and its derivatives appear to the first power and are not multiplied together. For example, a term like ( y^2 ) or ( y \cdot y' ) would make the equation nonlinear. The linearity ensures that the principle of superposition can be applied, allowing solutions to be constructed as a sum of individual solutions. Thus, a linear differential equation can be expressed in the form ( a_n(x)y^{(n)} + a_{n-1}(x)y^{(n-1)} + \ldots + a_0(x)y = g(x) ), where ( a_i(x) ) are functions of the independent variable ( x ).
