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

Index of summation - sequences and series, Index of summation - Sequences a...

Index of summation - Sequences and Series Here now, in the i is termed as the index of summation or just index for short and note that the letter we employ to represent

Prove that a/b+c-a, a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c ...

a, b,c are in h.p prove that a/b+c-a, b/a+c-b, c/a+b-c are in h.p To prove: (b+c-a)/a; (a+c-b)/b; (a+b-c)/c are in A.P or (b+c)/a; (a+c)/b; (a+b)/c are in A.P or 1/a; 1

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

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

Example on eulers method, For the initial value problem y' + 2y = 2 - e ...

For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0

Interpretations of definite integral, Interpretations of Definite Integral ...

Interpretations of Definite Integral There are some quick interpretations of the definite integral which we can give here. Firstly, one possible interpretation of the defini

Distinct roots, There actually isn't a whole lot to do throughout this case...

There actually isn't a whole lot to do throughout this case.  We'll find two solutions which will form a basic set of solutions and therefore our general solution will be as,

Counters and registers, design a synchronous, recycling, MOD-12 counter wit...

design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.

Integration, find the area bounded by the curve y=5x^2-4x+3 from the limit ...

find the area bounded by the curve y=5x^2-4x+3 from the limit x=0 to x=5

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