From a differential equations course: A mass that weight 6 lb stretches a spring 1in. The system is acted on by an external force 11* sin(19.5959*t) lb. If the mass is pushed up 4 in and then released, determine the position of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units. NOTES: Answer should be a function u(t). The 'guess' when using the method of undetermined coefficients is: t(A*cos(19.5959*t) + B*sin(19.5959t)). I just have not been able to finish the MUC part to find the particular soluton to the Non-Homogeneous Equation. The general solution to the homogeneous equation is: u_c = C1*cos(19.5959t) + C2*sin(19.5959t)
From a differential equations course: A mass that weight 6 lb stretches a spring 1in. The system is acted on by an external force 11* sin(19.5959*t) lb. If the mass is pushed up 4 in and then released, determine the position of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units. NOTES: Answer should be a function u(t). The 'guess' when using the method of undetermined coefficients is: t(A*cos(19.5959*t) + B*sin(19.5959t)). I just have not been able to finish the MUC part to find the particular soluton to the Non-Homogeneous Equation. The general solution to the homogeneous equation is: u_c = C1*cos(19.5959t) + C2*sin(19.5959t)
Related questions
Question
From a differential equations course:
A mass that weight 6 lb stretches a spring 1in. The system is acted on by an external force 11* sin(19.5959*t) lb.
If the mass is pushed up 4 in and then released, determine the position of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units.
NOTES:
Answer should be a function u(t).
The 'guess' when using the method of undetermined coefficients is: t(A*cos(19.5959*t) + B*sin(19.5959t)). I just have not been able to finish the MUC part to find the particular soluton to the Non-Homogeneous Equation.
The general solution to the homogeneous equation is:
u_c = C1*cos(19.5959t) + C2*sin(19.5959t)
Expert Solution
Step by step
Solved in 10 steps with 10 images
