Fact - undetermined coefficients, Mathematics

Assignment Help:

Here, let's take a look at sums of the fundamental components and/or products of the fundamental components. To do this we'll require the following fact.

Fact- Undetermined Coefficients

If YP1(t) is a particular solution for

 y′′ + p (t) y′ + q (t ) y = g1 (t)

 And if YP2(t) is an exact solution for

y′′ + p (t ) y′ + q (t) y = g2 (t)

So YP1(t)+ YP2(t) is an exact solution for

y′′ + p (t ) y′ + q (t ) y = g1 (t )+ g2(t)

This fact can be utilized to both find exact solutions to differential equations which have sums in then and to write down guess for functions which have sums in them.


Related Discussions:- Fact - undetermined coefficients

Objectives to knowing your maths learner, Objectives After studying th...

Objectives After studying this unit, you should be able to briefly describe the developmental stages of children's thinking and learning processes; assess the levels

Wholenumberriddles, I am less than 100 the sum of my digits is 4 half of me...

I am less than 100 the sum of my digits is 4 half of me is an odd number

Initial value problem, An IVP or Initial Value Problem is a differential eq...

An IVP or Initial Value Problem is a differential equation with an appropriate number of initial conditions. Illustration 3 : The subsequent is an IVP. 4x 2 y'' + 12y' +

Root test- sequences and series, Root Test- Sequences and Series This ...

Root Test- Sequences and Series This is the final test for series convergence that we're going to be searching for at.  Like with the Ratio Test this test will as well tell wh

5% sales tax on a basket what was the price of the basket, The 5% sales tax...

The 5% sales tax on a basket was $0.70. What was the price of the basket? Use a proportion to solve the problem; part/whole = %/100. The whole is the price of the basket (wh

Fibonacci number, 1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2...

1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.

Canada australia eire spain, Before independence, Bangladesh was called Cey...

Before independence, Bangladesh was called Ceylon East Pakistan Bhutan Bangalore Which of the following countries does not have a monarch as head of state? Canada Australia Eire

Determine the angle between dec, Using the example provided below, if the m...

Using the example provided below, if the measure ∠AEB = 5x + 40 and ∠BEC = x + 20, determine m∠DEC. a. 40° b. 25° c. 140° d. 65° c. The addition of the measurem

1 application of complex analysis in THERMODYNAMICS, Hi, this is EBADULLA ...

Hi, this is EBADULLA its about math assignment. 1 application of complex analysis used in thermodynamics. . what all uses are there in that... plz let mee know this answer.

Find the shortest paths in the digraph, 1. a) Find the shortest paths from ...

1. a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class).  Please show your work, and draw t

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