Tutorials > Intro To Differential Equation

Intro To Differential Equation

Date: 22 February 2025 | Posted by: 0nelove

Your Guide For Learning First Order Differential Equations, And Second Order Differential Equations
What you'll learn
Learn Ordinary Differential Equation
Learn Initial Value Problems
Learn Separable Equations
Learn First Order Linear Differential Equation
Learn Solving Exact ODE
Learn Homogeneous Differential Equation
Learn Bernoulli Differential Equation
Learn Second Order Differential Equation
Learn, Real, Distinct Roots
Learn Complex Roots
Learn Wronskian
Learn Second Order Repeated Roots
Requirements
Calculus 2
Description
This is a lower-level introduction to differential equation course. This course is broken into 6 sections: 1) Intro to differential equations, 2) First order differential equations, 3) Second order differential equations, 4) Series solution, 5) Laplace transform. First, we will go over definitions and terminology, we will go over the difference between linear non linear equations. Then storm into initial value problems, go over the difference between first order DE, second order DE, ordinary differential equations, classify ODE by order and linearity.The first thing we will go over is define a differential equation. A differential equation is an equation containing the derivatives of one or more dependent variables with respect to one or more independent variables(equation involving some unknown function and one or more of its derivatives). In a differential equation the solution is always going to be an equation. There are two types of differential equations: ordinary differential equation, partial differential equation. Also a differential equation can be linear or nonlinear.First Order Differential Equations:Direction fieldsSeparable equationsEuler's methodFirst order linear differential equationSolving exact ODE'sHomogeneous Differential EquationBernoulli differential equationLinear and nonlinear modelsPredator prey models and electrical newtworksSecond Order Differential EquationsDistinct real rootsComplex rootsRepeated rootsWronskianUndetermined coefficientsDifferential operatorsVariation of parametersCauchy euler equationMechanical vibrationsSeries SolutionsPower seriesSeries SolutionsLaplace TransformLaplace transform overviewInverse laplace transformsInitial value problems with laplace transformsTranslation theorems of laplace transformsSystems Of Differential EquationsHomogeneous linear systemsPhase plane portraits
Who this course is for
Pre Med Major, All Engineer Major, And Math Major
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