6. Consider the force spring-mass system with a mass of 1 kilogram attached to a spring whose constant is 2 N/m, and the entire system is submerged in a liquid that imparts a damping force numerically equal to 2 times the instantaneous velocity governed by the equation x" + 2x' + 2x=2 sint a. Find the general solution to the differential equation b. Solve the IVP with initial conditions x (0) = 2 and x'(0) = 0 c. Plot the solution and find the time t when the first three equilibrium points for the spring cross the t-axis.

6. Consider the force spring-mass system with a mass of 1 kilogram attached to a spring whose constant is 2 N/m, and the entire system is submerged in a liquid that imparts a damping force numerically equal to 2 times the instantaneous velocity governed by the equation x" + 2x' + 2x=2 sint a. Find the general solution to the differential equation b. Solve the IVP with initial conditions x (0) = 2 and x'(0) = 0 c. Plot the solution and find the time t when the first three equilibrium points for the spring cross the t-axis.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...

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