maximum value of the function f(x)=x*e^(-x)
Introduction : Maximum value of the function f(x)=x*e^(-x) will be the value of the function at a point at which value of the derivative of the function is zero and…
complex integral of z^2/(z+1) over a circle of radius 2
Introduction : In this article, we will described the procedure to evaluate the complex integral of z^2/(z+1) over a circle that contains singularity of the function. This is a complex…
prove that x^2+y^2+ln(x^2+y^2)/2 is harmonic function and find it’s harmonic conjugate
Introduction : A harmonic function is a function that satisfies Laplace equation. Harmonic functions are useful for analysis of analytic function and determining it's harmonic conjugate. Question: Prove that \(…
solve sin(x)+e^(-x)=x to the 10th decimal places
Introduction : In this article, we will solve sin(x)+e^(-x)=x numerically using Newtons method. Solution of the given equation are points where function intersects x-axis also called roots. Question: Write a…
Solve non homogeneous ode y’+xy=x^4+3 satisfying y(0)=0
Introduction : Ode y'+xy=x^4+3 is a non homogeneous and linear as it can be written as y'+p(x)y=q(x) where p and q are functions of x. We will learn the simple…
Solve system of differential equation matlab y1(t)’=y1+2y2,y2(t)’=2y1+y2
Introduction : In this article, we will write step by step matlab code to solve system of differential equation matlab and we also plot the solution. Question: Solve \[y_1'(t) =y_1+2y_2\],…
Numerical Approximation of first derivative of function f(x)=xe^x
Introduction : In this post, we are presenting numerical numerical approximation of first derivative of function f(x)=xe^x. Expression for first derivative is obtained using Taylor series expansion of function at…
Runge Kutta 4th order matlab to solve ode x’+t^2x=0
Introduction :In this post, we are going to present step by step process and also matlab program to use Runge-Kutta Method 4th order Matlab to solve ode x'+t^2x=0 with initial…
Mobius Strip Definition and parametrization
Introduction : This post is about learning of Mobius Strip Definition and it's parametrization, we are also plotting graph of mobius strip in matlab. Mobius strip is a mathematical geometrical…
Exact Differential equation solved example 1
Introduction : Exact differential equation is differential equation of first order which is written as M(x,y)dx+N(x,y)dy =0 and satisfies equation dM/dy=dN/dx. We will solve a problem in this post. Question…