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
y = mx + b
A standard form of a linear equation would be: ax + by = c
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.
aX+bY+cZ=0 Is a type of linear equation.
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
y = mx + b
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.
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.
A standard form of a linear equation would be: ax + by = c
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.
Y = 5X - 3It form a linear function; a line.
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
aX+bY+cZ=0 Is a type of linear equation.
x = 1
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
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 its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).