Question

In: Advanced Math

The solution to the Initial value problem x′′+2x′+17x=2cos(6t),x(0)=0,x′(0)=0 is the sum of the steady periodic solution...

The solution to the Initial value problem x′′+2x′+17x=2cos(6t),x(0)=0,x′(0)=0 is the sum of the steady periodic solution xsp and the transient solution xtr. Find both xsp and xtr.

Solutions

Expert Solution

Colby Messinger answered 2 years ago
Next > < Previous

Related Solutions

find the stedy-periodic solution cap of the initial value problem x"+2x'+50x=6cos(4t),x(0)=0,x'(0)=0
find the stedy-periodic solution cap of the initial value problem x"+2x'+50x=6cos(4t),x(0)=0,x'(0)=0
Solve the initial value problem y′=(2cos(2x))/(3+2y), y(0)=−1 and determine where the solution attains its maximum value...
Solve the initial value problem y′=(2cos(2x))/(3+2y), y(0)=−1 and determine where the solution attains its maximum value (for 0≤x≤1.697). Enclose arguments of functions in parentheses. For example, sin(2x). Y(x)=? x=?
Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0)...
Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0) = y'(0) = 0
Homework 1.1. (a) Find the solution of the initial value problem x' = x^(3/8) , x(0)=1...
Homework 1.1. (a) Find the solution of the initial value problem x' = x^(3/8) , x(0)=1 , for all t, where x = x(t). (b) Find the numerical solution on the interval 0 ≤ t ≤ 1 in steps of h = 0.05 and compare its graph with that of the exact solution. You can do this in Excel and turn in a printout of the spreadsheet and graphs.
1) Find f(x) by solving the initial value problem. f' (x) = e x − 2x;...
1) Find f(x) by solving the initial value problem. f' (x) = e x − 2x; f (0) = 2 2) A rectangular box is to have a square base and a volume of 20f t^3 . If the material for the base costs 30¢/f t^2 , the material for the sides costs 10¢/ft^2 , and the material for the top costs 20¢/f t^2 , determine the dimensions of the box that can be constructed at minimum cost.
Find the solution of the initial-value problem. y'' + y = 3 + 5 sin(x), y(0)...
Find the solution of the initial-value problem. y'' + y = 3 + 5 sin(x), y(0) = 5, y'(0) = 8
Use Laplace transforms to solve the initial value problem: x' = 2x + y, y' =...
Use Laplace transforms to solve the initial value problem: x' = 2x + y, y' = 6x + 3y; x(0) = 1, y(0) = -2
Solve the initial value problem dy/dx = −(2x cos(x^2))y + 6(x^2)e^(− sin(x^2)) , y(0) = −5...
Solve the initial value problem dy/dx = −(2x cos(x^2))y + 6(x^2)e^(− sin(x^2)) , y(0) = −5 Solve the initial value problem dy/dt = (6t^5/(1 + t^6))y + 7(1 + t^6)^2 , y(1) = 8. Find the general solution of dy/dt = (2/t)*y + 3t^2* cos3t
Find the solution of y′′+6y′=144sin(6t)+576cos(6t) with y(0)=1 and y′(0)=9. y= _____
Find the solution of y′′+6y′=144sin(6t)+576cos(6t) with y(0)=1 and y′(0)=9. y= _____
Solve the Sturn-Liouville problem, x^2X'' + lambda X =0 X(1)=X(2)=0
Solve the Sturn-Liouville problem, x^2X'' + lambda X =0 X(1)=X(2)=0
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT