일 | 월 | 화 | 수 | 목 | 금 | 토 |
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | |
7 | 8 | 9 | 10 | 11 | 12 | 13 |
14 | 15 | 16 | 17 | 18 | 19 | 20 |
21 | 22 | 23 | 24 | 25 | 26 | 27 |
28 | 29 | 30 | 31 |
- Admissions
- GCSE
- division
- Maths
- Order
- 바이어슈트라스
- solution
- fractions
- Partial
- differential
- a-level
- College
- integral
- factors
- 학년
- algebraic
- triangle
- 적분
- 치환
- factor
- Oxford
- 제도
- equation
- 교육
- Weierstrass
- t-치환
- mathematics
- 영국
- DENOMINATOR
- 수학
- Today
- Total
목록A-level Further Maths/Core Pure Maths 2 (4)
Cambridge Maths Academy
Core pure mathematics 2 Table of contents Introduction Examples Exercise 7D 1. Introduction We can use given boundary conditions to find a particular solution to a second-order differential equation. Since there are two arbitrary constants, we will need two boundary conditions to determine the complete particular solution. 2. Examples Example 1. Find $y$ in terms of $x$, given that $$ \begin{ali..
Core pure mathematics 2 Table of contents Complementary function + Particular integral An example Another example Yet another example An investigation: more general cases Exercise 7C 1. Complementary function + Particular integral Second-order differentail equations of the form $$ \begin{align} a \frac{ \textrm{d}^2y }{ \textrm{d}x^2 } + b \frac{ \textrm{d}y }{ \textrm{d}x } + c y = \textrm f(x)..
Core pure mathematics 2 Table of contents First example Arbitrary constants = constants of integration Linear and non-linear differential equations Finding the general solution with the auxiliary equation More examples Exercise 7B 1. First example A second-order differential equation contains second derivatives. Example 1. Find the general solution to the differential equation $$ \begin{align} \..
Core pure mathematics 2 Table of contents First example - the method of separable variables Removing the modulus sign First-order DEs with the method of the integrating factor (I.F.) Second example Two important questions for the integrating factor More examples Exercise 7A First-order differential equations with constant coefficients 1. First example - the method of separable variables If a fir..