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

Expert Solution

Colby Messinger answered 2 years ago

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

solve the differential equation a) ? ′′ − ? ′ = 1 1 + ? −? b) ? ′′ + 3? ′ + 2? = cos(?x ) c) 10) ? ′′ − 2? ′ + ? = exsqrtx

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 the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix);...

Solve the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix); where A = [ 9 , 5 ; -6 , -2 ]. Then, using Euler’s method with step size h=.1 over [ 0 , .5 ] fill in the table with header where the 2x1 matrix Yi is the approximation of the exact solution Y(ti) : t Yi Y(ti) ||Y(ti) – Yi ||

Create a java application that can solve the following differential equation and boundary condition with the...

Create a java application that can solve the following differential equation and boundary condition with the Runge Kutta method and the secant method. x' = f(t,x) = x + 0.09x2 + cos(10*t) differential equation x(0) + x(1) - 3.0 = 0 boundary condition Starting with the initial guesses 0.7 and 1.0 for the (unknown) initial value, x(0), obtain an approximation to x(0) {for the final solution, x(t)} such that the boundary condition is satisfied to within a tolerance of 10-4 ....

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

y"+3xy'-4y=0 Solve the differential equation.

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