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- International Conference on Differential Equations and Applications, LUMS Lahore (May 26-28 2016)
- Partial Differential Equations by M Usman Hamid
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- Chapter 04: System of Linear Equations
- Chapter 09: First Order Differential Equations
- Chapter 10: Higher Order Linear Differential Equations
- Ch 04: Quadratic Equations
- Ch 14: Solutions of Trigonometric Equation
- Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations
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- Mathematics CUI: LaTeX Resources
- er" ==== LaTeX Codes ==== * **To write inline equation** Use a $\$ $ (dollar) sign to write equation or symbols in between statements or sentences, e.g.\\ Let $I$... athbb{R}$ be a function</code> * **To write an equation** Use double dollar $(\$\$)$ to write dedicated equation, e.g.,\\ $$\sin^2 \theta + \cos^2 \theta =1$$ <cod
- MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
- -\omega, -\omega^2$ * (D) $1, -1, 2$ * The equation $ax^2+bx+c=0$ will be quadratic if * (A) $a=0... e formed by using a sign of '=' is a/an * (A) equation * (B) formula * (C) rational fraction ... on * (C) series * (D) permutation * The equation $ax^2+bx+c=0$ will be quadratic if * (A) $a=0
- Important Questions: HSSC-I @fsc-part1-ptb
- portant-questions:ch14-solutions-of-trigonometric-equation ]] =====Short Term Preparation===== * **[[sho
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- function, because it is defined by second degree equation in * **Unary Operation:** A mathematical p... er 04: Quadratic equations ===== * **Quadratic Equation:** An equation of second degree polynomial in a certain variable is called Quadratic Equation. \\ e.g. $x^2-4=0$, $5x^2-7x=0$\\ Equation of typ
- MathCraft: PDF/Image to Word: Sample 02 @mathcraft
- n the output Word file is as follows. It contains equation, which can be editable with MS Office built-in Equation editor. {{gview noreference>:mathcraft:sample-02.do
- MathCraft: PDF/Image to Word: Sample 01 @mathcraft
- n the output Word file is as follows. It contains equation, which can be editable with MS Office built-in Equation editor. {{gview noreference>:mathcraft:sample-01.do
- MathCraft: PDF to LaTeX file: Sample-02 @mathcraft
- ing both inequalities between $a$ and $b$ \begin{equation*} \int_{a}^{b} r(x) d x \leq \int_{a}^{b} f(x) d x \leq \int_{a}^{b} s(x) d x . \tag{1} \end{equation*} Now $$ \begin{aligned} \int_{a}^{b} r(x) d x &
- MathCraft: PDF to LaTeX file: Sample-01 @mathcraft
- . for $r \leq u$ and $s \leq v$, we have \begin{equation*} E(x, y ; r, s) \leq E(x, y ; u, v) . \tag{1} \end{equation*} \vspace{2mm} In this paper, first we shall giv... then the following inequality is valid: \begin{equation*} \left(\dfrac{f\left(x_{2}\right)}{f\left(x_{1}\... ght)^{1 /\left(y_{2}-y_{1}\right)} . \tag{2} \end{equation*} Applying Lemma 2.1 for $f=\phi$, (let $r, s,
- MTH480: Introductory Quantum Mechanics @atiq
- scillator. Schrodinger representation. Heisenberg equation of motion Schrodinger equation. Potential step, potential barrier, potential well. Orbital angular momentum
- Question 2 Exercise 4.3 @math-11-kpk:sol:unit04
- s & 4 n^2-11 n-225=0\end{align} This is quadratic equation with $a=4, b=-11$ and $c=-225$, then \begin{align
- Question 11 Exercise 7.3 @math-11-kpk:sol:unit07
- {2^6}+\ldots$ Adding 1 to both sides of the above equation $$ S=y+1=1+\frac{1}{2^2}+\frac{1.3}{2 !} \cdot \f
- Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
- Solution: We are taking L.H.S of the above given equation and apply the binomial theorem $$ \begin{aligned}... taking numerator in the L.H.S of the above given equation ====Go To==== <text align="left"><btn type="
- Question 14 Exercise 7.3 @math-11-kpk:sol:unit07
- g binomial theorem on the R.H.S of the above last equation, $$ \begin{aligned} & p x^p-q x^q \\ & =p(1+p h+\
- Question 12 Exercise 7.3 @math-11-kpk:sol:unit07
- 6}+\ldots $$ Adding 1 to both sides of the above equation, we get $S=2 y+1=1+\frac{1}{2^2}+\frac{1.3}{2 !}
- Question 10 Exercise 7.2 @math-11-kpk:sol:unit07
- *\right) x^n \cdot $$ Putting $x=1$ in the above equation, we have $(1 \div 1)^n=\left(\begin{array}{l}n \\