ODEs | Proveiff Study

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,…

How to find integrating factor of ode y’+y=e^(-x) then find solution satisfying y(0)=1 ?

By SK Math Expert February 18, 2021ODEsLinear ordinary differential equations

Introduction : In this question, we will find integrating factor of the ode y'+y=e^(-x) then finding it's general solution. Question : Find integrating factor method of the ode \[y^\prime+y=e^{-x}\] then…

What are Time translation time reversal time re-scaling properties of a differential equation

By SK Math Expert February 15, 2021ODEsProperties of Ordinary differential quations

Introduction : In this question, we will state and prove what are Time translation time reversal time re-scaling properties of a differential equation x'(t)=f(x(t)) ? Question : Sate and prove…

Euler Method to solve system of first order differential equations x’=-y+2cos(t),y’=-y^2+4cos(t),x(0)=1,y(0)=0 in the interval [0, 2]

By SK Math Expert February 15, 2021ODEsNumerical solution of system of differential equations

Introduction : In this question , we will present Euler Method to solve system of first order differential equations x'=-y+2cos(t),y'=-y^2+4cos(t),x(0)=1,y(0)=0. Question: Euler Method to solve system of first order differential…

Euler Method for system of differential equations example

By SK Math Expert February 10, 2021Advanced Math, ODEssystem of differential equations

Introduction : Euler Method for system of differential equations Question : Solution: \[\left(\begin{array}{c}y_1' \\y_2' \end{array}\right)=\left(\begin{array}{cc}-t^2 & t \\2-t & 0 \end{array}\right)\left(\begin{array}{c}y_1 \\y_2 \end{array}\right)+\left(\begin{array}{c}1\\t \end{array}\right)\] f(t,y_1,y_2 )=-t^2 y_1+ty_2+1 g(t,y_1,y_2 )=(2-t) y_1+0y_2+t…

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

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

How to find integrating factor of ode y’+y=e^(-x) then find solution satisfying y(0)=1 ?

What are Time translation time reversal time re-scaling properties of a differential equation

Euler Method to solve system of first order differential equations x’=-y+2cos(t),y’=-y^2+4cos(t),x(0)=1,y(0)=0 in the interval [0, 2]

Euler Method for system of differential equations example

Duhamel principle to solve system of nonhomogeneous differential equations

Solve system of differential equation matlab y1(t)’=y1+2y2,y2(t)’=2y1+y2

Runge Kutta 4th order matlab to solve ode x’+t^2x=0

Exact Differential equation solved example 1