Linear differential equations, Mathematics

Assignment Help:

A linear differential equation is of differential equation which can be written in the subsequent form.

an(t) y(n) (t) + a n-1 (t) y(n-1) (t)+..............+ a1(t) y'(t) + a0 (t) y(t) = g (t)

The significant thing to note regarding linear differential equations is as there are no products of the function, y(t), and its derivatives and neither the function nor its derivatives arise to any power other than the first power.

The coefficients a0 (t),.........,an (t) and g (t) can be zero or non-zero functions, constant or non-constant functions, linear or non-linear functions. Merely the function, y (t), and its derivatives are employed in finding if a differential equation is linear.

If a differential equation can't be written in form, equation (11) then it is termed as a non-linear differential equation.


Related Discussions:- Linear differential equations

Explain different base numbers, Explain Different Base Numbers? In mult...

Explain Different Base Numbers? In multiplying or dividing two exponential expressions with different base numbers, write out the exponential expressions as products. Since

Determine y inverse for x2 + y 4 = 10, Determine  y′′  for           ...

Determine  y′′  for                                x 2 + y 4   = 10 Solution: We know that to get the second derivative we required the first derivative and to get that w

Find out if the following series converges or diverges, Determine or find o...

Determine or find out if the following series converges or diverges.  If it converges find out its value. Solution We first require the partial sums for this series.

Geometry, what shapes can go into a triangular prism

what shapes can go into a triangular prism

Shares and divend, a company of 10000 shares of rs 100 each declares a annu...

a company of 10000 shares of rs 100 each declares a annual dividend of 5 %.what is the total amount dividend paid by the company

How far off shore is the sinking ship, A sinking ship signals to the shore ...

A sinking ship signals to the shore for assistance. Three individuals spot the signal from shore. The ?rst individual is directly perpendicular to the sinking ship and 20 meters in

Solve the linear programming problem using simple method, Solve the followi...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x 1 + 2X 2 Subject to the constraints:                  X 1 + X 2 ≤ 4

probability that the card is a 8 or an ace, A standard deck of cards conta...

A standard deck of cards contains 52 cards. One card is selected at random. Determine a)    The probability that the card is a 8 or an Ace? b)    The probability that the card is

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd