we are given a second-order non-homogeneous linear differential equation: mh''+5h'+120h=mg with initial conditions h(0)=100 and h'(0)=0.Converting into a system of first-order differential equations. We can do this by letting v = h' (velocity is the derivative of height with respect to time). Then, the original equation becomes mv' + 5v + 120h = mg, which is a first-order differential equation in v. We also have the equation h' = v, which is a first-order differential equation in h. Write a python code to solve the system for h(t) and v(t), where g is 9.8 and m varies.
we are given a second-order non-homogeneous linear differential equation: mh''+5h'+120h=mg with initial conditions h(0)=100 and h'(0)=0.Converting into a system of first-order differential equations. We can do this by letting v = h' (velocity is the derivative of height with respect to time). Then, the original equation becomes mv' + 5v + 120h = mg, which is a first-order differential equation in v. We also have the equation h' = v, which is a first-order differential equation in h. Write a python code to solve the system for h(t) and v(t), where g is 9.8 and m varies.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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we are given a second-order non-homogeneous linear
Converting into a system of first-order differential equations. We can do this by letting v = h' (velocity is the derivative of height with respect to time). Then, the original equation becomes mv' + 5v + 120h = mg, which is a first-order differential equation in v. We also have the equation h' = v, which is a first-order differential equation in h. Write a python code to solve the system for h(t) and v(t), where g is 9.8 and m varies.
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