Solved Van Der Val ODE solution long term behaviour
Introduction : Van Der Val ODE is a second order differential equation. To analyse it's solution behaviour First we convert it into a system of first order ODEs then obtained…
how to find derivative of a power series
Introduction :In this solution, we explain how to find derivative of a power series. Question: Find derivative of a power series \[P^\prime\left(x\right)=1-2\frac{\left(x+2\right)}{6}+\frac{3\left(x+2\right)^2}{27}-\frac{4\left(x+2\right)^3}{108}+\ldots\ldots\] Solution : We have given power series expansion…
prove that error between approximating function and first three terms of power series expansion is less than 1/1500
Introduction: In this solution, we prove that error between approximating function and first three terms of power series expansion is less than 1/1500. Question: Power series expansion of a function…
Solved Find equation of a straight line that has x-, y- intercepts as 3, 2 respectively.
Introduction: In this solution, we Find equation of a straight line that has x-, y- intercepts as 3, 2 respectively. Question Find equation of a straight line that has x-,…
Solved How to find equation of straight line passing through point (-2,1) with slope 1/2
Introduction: In this solution, we find equation of straight line passing through point (-2,1) with slope 1/2. Question: find equation of straight line passing through point (-2,1) with slope 1/2…
What is equation of circle with center (-1,-1) and radius 3 ?
Introduction: In this solution, we find equation of circle with center (-1,-1) and radius 3. Question Find Equation of circle with center (-1,-1) and radius 3 Solution: Equation of circle…
Solved find limit of (x^2-3x+1)/(x^2+7x-2) as x tends to infinity
Introduction: In this solution, we find limit of (x^2-3x+1)/(x^2+7x-2) as x tends to infinity. Question: find following limit \[limit_{x->\infty}{\frac{ (x^2-3x+1)}{(x^2+7x-2)}} \] Solution:
Solved find improper integral 0 to infinity xe^(-x)
Introduction: In this question, we solved question find improper integral 0 to infinity xe^(-x). Question : find improper integral \[int_0^\infinity{xe^{-x}\] Solution:
Solved how to find equation of straight line passing through two points (-1,2) and (0,3)
Introduction : In this question, we find equation of straight line passing through two points (-1,2) and (0,3) Question : find equation of straight line passing through two points (-1,2)…
Complementary function and Particular integral of pde
Introduction: In this solution, we find Complementary function and Particular integral of a pde which is homogeneous and linear Question: find Complementary function and Particular integral of a homogeneous linear…