answersLogoWhite

0


Best Answer

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

User Avatar

Wiki User

7y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the general form of linear differential equation?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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.


Why you solve a differential equation for x?

In its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).