Advanced Math | Proveiff IT Solutions

How to Find and classify fixed points of the differential equation x’=(x^2-1)(x-2) and prove that they are hyperbolic

By SK Math Expert March 1, 2021ODEsfixed points and stability of dynamical systems

Introduction : In this we will explain method for How to Find and classify fixed points of the differential equation x'=(x^2-1)(x-2) and we will also know what is a hyperbolic…

How to find Laplace transform of sin(at+b) where a, b are constants and verify in MATLAB

By SK Math Expert March 1, 2021Laplace TransformsLaplace transform examples

Introduction : In this we derive the Laplace transform of sin(at+b) where a, b are constants. We will also obtain Laplace transform of sin(at+b) in MATLAB. Question: find Laplace transform…

How to find Laplace transform of cos(at+b) where a, b are constants

By SK Math Expert February 28, 2021Laplace TransformsLaplace transform examples

Introduction : In this we derive the Laplace transform of cos(at+b) where a, b are constants. We will also obtain Laplace transform of cos(at+b) in MATLAB. Question: find Laplace transform…

how to find rate of convergence of newton’s method for solving of f(x)=x^4 with x0=1

By SK Math Expert February 28, 2021Numerical Analysisorder of convergence of numerical methods

Introduction : This is the step by step solution to the question how to find rate of convergence of newton's method for solving of f(x)=x^4 with x0=1 Question : find…

how to Prove that transpose operator from the vector space of all square matrices to real numbers is linear

By SK Math Expert February 28, 2021Linear Algebralinear transformation examples

Introduction: This is the step by step solution of the question how to Prove that transpose operator from the vector space of all square matrices to real numbers is linear…

How to show Euler method underestimates or overestimates the solution u(t3) of the IVP u'(t)=1+u(t),u(0)=1 in the interval [0, 5) using 10 sub-intervals

By SK Math Expert February 27, 2021Numerical AnalysisEuler Method examples

Introduction: In this solution we will see the method of How to show Euler method underestimates or overestimates the solution u(t3) of the IVP u'(t)=1+u(t),u(0)=1 in the interval [0, 5)…

How to solve pde ut+aux=e^(-2x), u(x,0)=f(x)

By SK Math Expert February 26, 2021Advanced Math, PDEssolutions of first order pdes

Introduction : In this solution we explain step by step the method How to solve pde ut+aux=e^(-2x), u(x,0)=f(x). Question: solve pde \[u_{t}+au_{x}=e^{-2x}\] subject to initial condition \[u(x,0)=f(x)\] Solution: Given pde…

How to fit linear regression models for male and female for the following data

By SK Math Expert February 24, 2021Excel, Numerical Analysislinear regression examples

Introduction : In this solution we will present step step method to question How to fit linear regression models for male and female for the following data Question: What are…

How to plot direction field and solution curves of the logistic model dP/dt =(1/3)(P-2)(3-P) with initial conditions P(0)=1, P(0)=2,P(0)=5

By SK Math Expert February 24, 2021Mechanical Engineering, ODEspopulation model solution

Introduction: In this article , we present the solution of the question How to plot direction field and solution curves of the logistic model dP/dt =(1/3)(P-2)(3-P) with initial conditions P(0)=1,…

How to find general solution of logistic differential equation dP/dt =(1/4)(P(t)-2)(4-P(t)) and specific solutions with initial conditions P(0)=2, P(0)=3

By SK Math Expert February 24, 2021Advanced Math, ODEspopulation model solution

Introduction: In this article , we present the solution of the question how to find general solution of logistic differential equation dP/dt =(1/4)(P(t)-2)(4-P(t)) and specific solutions with initial conditions P(0)=2,…