solve the differential equation a) ? ′′ − ? ′ = 1 1 + ? −?...

solve the differential equation

a) ? ′′ − ? ′ = 1 1 + ? −?

b) ? ′′ + 3? ′ + 2? = cos(?^x )

c) 10) ? ′′ − 2? ′ + ? = e^xsqrtx

Expert Solution

Colby Messinger answered 2 years ago

convert differential equation to a matrix differential equation? can put an example and solve it.

1) Use MATLAB to solve this differential equation. ??/?? = .25? (1 − ?/4 ) -...

1) Use MATLAB to solve this differential equation. ??/?? = .25? (1 − ?/4 ) - a 2) Use MATLAB to graph solution curves to this system with several different initial values. Be sure to show at least one solution curve for each of the scenarios found in ??/?? = .25? (1 − ?/4 ) - a ( let a = 0.16)

Consider the differential equation x′=[2 4 -2 −2], with x(0)=[1 1] Solve the differential equation where...

Consider the differential equation x′=[2 4 -2 −2], with x(0)=[1 1] Solve the differential equation where x=[x(t)y(t)]. x(t)= y(t)= please be as clear as possible especially when solving for c1 and c2 that's the part i need help the most

1. Set-up the appropriate differential equation(s) and solve to derive the general equation of motion for...

1. Set-up the appropriate differential equation(s) and solve to derive the general equation of motion for a human sized “dummy” moving vertically (up/down) under the following assumptions: (a)The initial elevation is h0 ft. (b)The initial velocity is V0 ft./sec. (c)All motion vertical (ignore any sideways motion). (d)The force due to wind is proportional to velocity and in the opposite direction of velocity. (e)The “terminal velocity” is 120mph (e.g. lim t→∞ (V)= 120 mph). (f)Force = Mass * Acceleration. (g)Acceleration due to...

In Exercises 1-38, solve each differential equation using variation of parameters. If an equation can be...

In Exercises 1-38, solve each differential equation using variation of parameters. If an equation can be solved using undetermined coefficients, do so. If both methods can be used to find Yp, which method is easier when both can be used? y"+2y'+50y=e^(-t)csc(7t)

Solve differential equation: y'+y=sin(x)

y'+xy=x3+y2 Solve the differential equation.

Solve the Differential equation y'' - 2y' + y = ex

Solve the following problems. a) What is the order of the differential equation ? ′ =...

Solve the following problems. a) What is the order of the differential equation ? ′ = ? 2 − 3? − 10? Is it linear ? b) Determine whether the differential equation ? ′ = ? 2 − 3? − 10 possesses constant solutions. If yes find these constant solutions. c) Find the value(s) of ? so that the function ? = ? ?? is a solution of ? ′′ − 3? ′ − 10? = 0. Do you think...

Solve the differential equation: y' + 2y = cos 5x

Question