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

Guess my number, My thousandths digit is twice the tenths digit. My tenths ...

My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?

Permatuation and combination problem, How may six digit numbers can be made...

How may six digit numbers can be made in which the sum of the digits is even? Ans = 9*10*10*10*10*5

Multiplication of complex numbers, Multiplication of complex numbers: ...

Multiplication of complex numbers: Example 1: Combine the subsequent complex numbers: (4 + 3i) + (8 - 2i) - (7 + 3i) =  Solution: (4 + 3i) + (8 - 2i) - (7 + 3i

Laplace transform, what is the Laplace transform of e^9(-t)^a)

what is the Laplace transform of e^9(-t)^a)

integral 0 to pi e^cosx cos (sinx) dx, Let u = sin(x). Then du = cos(x) dx...

Let u = sin(x). Then du = cos(x) dx. So you can now antidifferentiate e^u du. This is e^u + C = e^sin(x) + C.  Then substitute your range 0 to pi. e^sin (pi)-e^sin(0) =0-0 =0

Prepare a bar diagram, Question Write a short note on the following: ...

Question Write a short note on the following: 1 The weekly salaries of a group of employees are given in the following table. Find the mean and standard deviation of the

Product rule, Product Rule If the two functions f(x) & g(x) are differe...

Product Rule If the two functions f(x) & g(x) are differentiable (i.e. the derivative exist) then the product is differentiable and,

Find the laplace transforms of functions, Find the Laplace transforms of th...

Find the Laplace transforms of the specified functions. (a)   f(t) = 6e 5t + e t3 - 9 (b)   g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (c)    h(t) = 3sinh(2t) + 3sin(2t)

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