Time and Work MCQ (1) (time of completing work)
Time and Work MCQ (1): Frances can complete a job in 12 hours and Joan can complete the same job in 8 hours. Frances starts the job at 9 am…
Linear System with infinitely many solutions
Introduction : When an unknown variable solution depends on another unknown then the system is called linear system with infinitely many solutions. In this article, we will see this by…
limit of (x-sin(x))/x^3
Introduction : In this article, we will find limit of (x-sin(x))/x^3 as x goes to 0. There are several techniques that are used to find the limit such as L…
Integrate (x+|x|)/2 from x=-1 to 1
Introduction : To integrate (x+|x|)/2 over an interval [-1 1], we will use the definition of an absolute value function then add with x to get definition of x+|x| over…
Solve IVP using Laplace transform Method Example (1)
Introduction : Solve IVP using Laplace transform Method means solving a differential equation with initial conditions given at an initial point through the application of Laplace transform. In this article,…
Solve differential equation by Laplace Transform Example (2)
Introduction : There are several application of Laplace transform one them is solving a differential equation. In this article, we will se how this techniques is used to obtain the…
Proving a Subgroup is Normal Subgroup Example 1
Introduction : Sets and it's subsets are called group and subgroups respectively if they satisfy definition of a group. Groups and subgroups are mathematical structures.. In this article, we present…
Hyperbolic partial differential equation Example 1
Introduction : The question "prove that a partial differential equation is hyperbolic" is asked in many competitive exams. In this article, we will learn all the steps by solving an…
elliptic partial differential equation example 1
Introduction : In this article, we will present the solution of a question which is elliptic partial differential equation example. To know the answer of the question "prove that a…
solve ode dy/dx=sqrt(x^2+y^2) with y(1)=2
Introduction : We will apply numerical method to solve ode dy/dx=sqrt(x^2+y^2) with y(1)=2 known as Euler method. This method produces numerical solutions using iterations at the different points of domain.…