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Calculus 2: Introduction to differential equations

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All Calculus 2Volumes of Solids of RevolutionIntegration by PartsTrigonometric IntegralsTrigonometric substitutionPartial fractionsImproper integralsStrategy for integrationArc lengthArea of a surface of revolutionIntroduction to differential equationsSeparable differential equationsLinear differential equationsParametrized curvesPolar coordinatesSequencesSeries and the integral testComparison testsAlternating series and absolute convergenceRatio and root testsPower series and representations of functionsTaylor and Maclaurin seriesApplications of Taylor polynomials
Determining Order and Degree of Differential Equations

Given differential equations, find their order and degree.

Introduction to differential equationsEasyVideo
Classifying Differential Equations by Order Linearity and Homogeneity

Name the order, linearity (linear or non-linear), and homogeneity (homogeneous or non-homogeneous) of the following differential equations.

Introduction to differential equationsMediumVideo
Finding Particular Solution of Differential Equation with Initial Condition

Find the particular solution of the differential equation with initial condition y(e)=ey(e) = e.

Introduction to differential equationsMediumVideo
Difficulty of Differential Equations Course

Is Differential Equations a hard class?

Introduction to differential equationsEasyVideo
Solution of NonLinear Differential Equation with Initial Condition

Solve the differential equation: dydx=x+xy2\frac{dy}{dx} = x + x y^2 with the initial condition y(0)=−1y(0) = -1.

Introduction to differential equationsMediumVideo
Exploring Differential Equations with Initial Conditions

For our first actual example, we're going to pretend this random differential equation with initial conditions that I just got from my textbook yields a solution that's very important to an engineer or scientist.

Introduction to differential equationsMediumVideoNeeds Attention
Electric Field Behavior with Distance

The question is: If we have a single positive charge in space, then the electric field at some point is inversely proportional to the distance from that charge squared. Now, if we double that distance from the origin on that same axis, what kind of behavior will we find for the electric field?

Introduction to differential equationsMediumVideo
Derivative of a Polynomial Function

Calculate the derivative F'(x) of the function 4x3+2x+C4x^3 + 2x + C.

Introduction to differential equationsEasyVideo