Surya Mahardika Blog.

In this post, I'll introduce about Diffrential Equations.  First-order differential equations Reference: Boyce and DiPrima, Chapter 2 The general first-order differential equation for the function 𝑦 = 𝑦(𝑥) is written as 𝑑𝑦 𝑑𝑥 = 𝑓(𝑥, 𝑦), (2.1) where 𝑓(𝑥, 𝑦) can be any function of the independent variable 𝑥 and the dependent variable 𝑦. We first show how to determine a numerical solution of this equation, and then learn techniques for solving analytically some special forms of (2.1), namely, separable and linear first-order equations. 2.1 The Euler method view tutorial Although it is not always possible to find an analytical solution of (2.1) for 𝑦 = 𝑦(𝑥), it is always possible to determine a unique numerical solution given an initial value 𝑦(𝑥0) = 𝑦0, and provided 𝑓(𝑥, 𝑦) is a well-behaved function. The differential equation (2.1) gives us the slope 𝑓(𝑥0, 𝑦0) of the tangent line to the solution curve 𝑦 = 𝑦(𝑥) at the point (𝑥0, 𝑦0). With a small s...

On, Thursday, 12 May 2016. 1 : 48 pm. i'd like to make an solution of math which i copy from the book. Problem 1. Let a0 < a1 < a2 . . . be an infinite sequence of positive integers. Prove that there exists a unique integer n ≥ 1 such that an < a0 + a1 + a2 + · · · + an n ≤ an+1.  Problem 2. Let n ≥ 2 be an integer. Consider an n × n chessboard consisting of n 2 unit squares. A configuration of n rooks on this board is peaceful if every row and every column contains exactly one rook. Find the greatest positive integer k such that, for each peaceful configuration of n rooks, there is a k × k square which does not contain a rook on any of its k 2 unit squares.  Problem 3. Convex quadrilateral ABCD has ∠ABC = ∠CDA = 90◦ . Point H is the foot of the perpendicular from A to BD. Points S and T lie on sides AB and AD, respectively, such that H lies inside triangle SCT and ∠CHS − ∠CSB = 90◦ , ∠T HC − ∠DT C = 90◦ . Prove that line BD is tangent to the circumcircle of trian...

On the Thursday, 12 May 2016. i'd like to make a explanation about  model of mathematics. Model of mathematics is an artificial object that resemble something from the real world to the math. Is like imagery the action in the real world, with the algebra we can make an model of math. x = 5000 + y , it's the simple model hence same with y [like equations]. For examples : an architect might construct a miniature model of building that he is planning. it's purpose to would be to look like the real things but be small enough to be viewed from all angles and show how various part of the structure, we can use a model of mathematics to know the angle, the real construction. the model of math can use to find something imagery, by make 2 equation and elimination the variabels we can found the value of x, y.

Hi !. may i introduce my self. my name kadek surya mahardika, i'm from Indonesia. i like mathematics. now, in the 2016 my age 15 years old. i'd like to make a blog and share about math. if u like to know me futher u can find me at my facebook "Surya Mahardika". u can tell more about math to me. I think i don't like geometri so i just change to programming