Find the position function x(t) of a moving particle with the given acceleration a(t), initial position […] Calculus II Differential Equations Find the position function x(t) of a moving particle with …

Find the solution y(t) of the system of differential equations Video Discussion Written Lesson Differential Equations Linear Algebra Find the solution y(t) of the system of differential equations

Solve the initial value problem y'/x=1/y explicitly for the separable variable differential equation Video Discussion Written […] Differential Equations Solve the initial value problem y'/x=1/y explicitly for the separable …

Find the general solution of the separable variable diff eq dy/dt=2y(t^2+1) Video Discussion Written lesson Differential Equations Find the general solution of the separable variable diff eq …

How to do a constant coefficient differential equation y^(7)-8y^(4)=0 homogeneous higher order Video Discussion Written Lesson […] Differential Equations How to do a constant coefficient differential equation y^(7)-8y^(4)=0 homogeneous …

Second order homogeneous linear differential equation with constant coefficients solution Video Discussion Written Lesson Differential Equations Second order homogeneous linear differential equation with constant coefficients solution

Show that if F_ext(t)=0, m=1, k=1, and b=6, then equation (3) has the "critically damped" solutions […] Differential Equations Show that if F_ext(t)=0, m=1, k=1, and b=6, then equation …

Verify that y=sin(3t) + 2cos(3t) is a solution to the initial value problem 2y''+18y=0, y(0)+2, y'(0)=3. […] Differential Equations Verify that y=sin(3t) + 2cos(3t) is a solution to the …

Diff Eq. Find all solutions of the form e^(rt) for x''-4x'+4x=0 and determine whether they form […] Differential Equations Diff Eq. Find all solutions of the form e^(rt) for …

x''+x=1 -- Verify that the given set is a set of solutions for the associated homogeneous […] Differential Equations x''+x=1 -- Verify that the given set is a set …

Find all solutions of the form t^r for t^2x''-tx'+x=0 on (0,\infty) and determine whether they form […] Differential Equations Find all solutions of the form t^r for t^2x''-tx'+x=0 on …

x''-x=e^(3t) Verify that the given set is a set of solutions for the associated homogeneous equations, […] Differential Equations x''-x=e^(3t) Verify that the given set is a set of …

Verify that both x=c1e^t + c2e^(2t) + 2cosh(t) and x^~=c_1^~e^t + c_2^~e^(2t)+e^(-t) are a general solution […] Differential Equations Verify that both x=c1e^t + c2e^(2t) + 2cosh(t) and x^~=c_1^~e^t …

Determine by inspection at least one solution to the differential equation y''=0, y'=y, xy'+y=2x^2 Video Discussion […] Differential Equations Determine by inspection at least one solution to the differential …

For this video we will learn what to look at while classifying a differential equation by […] Differential Equations Describe or classify the differential equation i.e. first order, linear … 1 comment

Find the position function x(t) of a moving particle with the given acceleration a(t), initial position […] Differential Equations Find the position function x(t) of a moving particle with …

For this problem, you need to begin to see the outcome of what is to come […] Differential Equations Use the method of special integrating factors to solve 2xydx+(y^2-3x^2 …

For this problem in order to find the explicit solution to the first order differential equation […] Differential Equations Find the explicit solution to the first order differential equation …

For this differential equation, you simply need to separate out the variables into y's and x's […] Differential Equations Solve the separable variable initial values differential equation y' - …

By the method of substitution for solving differential equauations of the first order that are non-linear […] Differential Equations Solve (xy + y^2) dx - x^2 dy = 0 …

For this problem "Verify that the piecewise-defined function is a solution of the differential equation." We […] Differential Equations Verify that the piecewise-defined function is a solution of the …

Because the equation was specifically given in the form of the "Bernoulli Equation," it should be […] Differential Equations Use Bernoulli Equation to solve the differential equation dy/dx + …

By recognizing that this equation is not suitable for other methods such as separable variables and […] Differential Equations Use Special Integrating Factors to Solve (2y^2 + 2y + …

For this problem, you will need to simply use the method of substitution by setting y=ux […] Differential Equations Use the method of substitution for solving differential equations dy/dx+y/x=x^3y^2

For this problem, you will need to simply use the method of substitution by setting y=ux […] Differential Equations Solve (xy + y^2) dx - x^2 dy = 0 …

Use the method of substitution to solve the differential equation x(x+y)y'=y(x-y) Differential Equations Use the method of substitution to solve the differential equation …

Use the method of substitution to solve the differential equation xy^2y'=x^3+y^3 Differential Equations Use the method of substitution to solve the differential equation …

Substitution method for solving differential equations solve x(x+y)y'=y(x-y) Differential Equations Substitution method for solving differential equations solve x(x+y)y'=y(x-y)

Special integrating factors to solve differential equation (x^4-x+y)dx-xdy=0 Differential Equations Special integrating factors to solve differential equation (x^4-x+y)dx-xdy=0

Solve the exact differential equation (1/y)dx-(3y-x/y^2)dy=0 Differential Equations Solve the exact differential equation (1/y)dx-(3y-x/y^2)dy=0

Solve the differential equation by regarding y as the independent variable rather than x Differential Equations Solve the differential equation by regarding y as the independent …

Linear nonhomogeneous method of solving differential equations 2xy'-3y=9x^3 Differential Equations Linear nonhomogeneous method of solving differential equations 2xy'-3y=9x^3

Linear nonhomogeneous differential equation method xy'-y=x, y(1)=7 Differential Equations Linear nonhomogeneous differential equation method xy'-y=x, y(1)=7

Integrating factor to solve differential equation dy/dx+4y-e^(-x)=0 Differential Equations Integrating factor to solve differential equation dy/dx+4y-e^(-x)=0

Differential equations xy'+y=3xy, y(1)=0 using the integrating factor method Differential Equations Differential equations xy'+y=3xy, y(1)=0 using the integrating factor method

Differential equation (x+1)dy-xydx=0 first-order-linear-homogeneous Differential Equations Differential equation (x+1)dy-xydx=0 first-order-linear-homogeneous

Classify the equation as separable, linear, exact or none of these. Notice that some equations may […] Differential Equations Classify the equation as separable, linear, exact or none of …

Use the method of substitution to solve the differential equation x(x+y)y'=y(x-y) Differential Equations Use the method of substitution to solve the differential equation …

Solve the differential equation dx/dt=t/(xe^(t+2x)) Differential Equations Solve the differential equation dx/dt=t/(xe^(t+2x))

Solve the initial value problem for the first order differential equation 1/2 dy/dx = sqrt(y+1)cos(x), y*pi)=0 […] Differential Equations Solve the initial value problem for the first order differential …

Solve the first order separable variable differential equation (x+xy^2)dx+e^(x^2)ydy=0 Differential Equations Solve the first order separable variable differential equation (x+xy^2)dx+e^(x^2)ydy=0

Solve the separable variable differential equation xdy/dx=1/y^3 Differential Equations Solve the separable variable differential equation xdy/dx=1/y^3

Solve the linear first order differential equation y'+P(x)y=Q(x) Differential Equations Solve the linear first order differential equation y'+P(x)y=Q(x)

Solve the separable variable differential equation dv/dx=(1-4v^2)/(3v) Differential Equations Solve the separable variable differential equation dv/dx=(1-4v^2)/(3v)