Recent content by maciejj
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Runge Kutta method to solve second order ODE
Homework Statement Need to solve xy''+y'+xy=0 using Runge Kutta on x[1,3] Couldn't find algorythm to solve second order ODE using this method I know how to do 1st order Homework Equations The Attempt at a Solution I know I have to make this equation into 2 first order ODE...- maciejj
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- Method Ode Runge kutta Second order Second order ode
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Mass-spring-damper system solve for x(t) using power series
have changed x''(0) is that correct now?- maciejj
- Post #10
- Forum: Calculus and Beyond Homework Help
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Mass-spring-damper system solve for x(t) using power series
Hi ,have uploaded a pdf file showing what I have done. So what initial conditions would you use?- maciejj
- Post #8
- Forum: Calculus and Beyond Homework Help
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Mass-spring-damper system solve for x(t) using power series
hi ,yes its one of task for my math assignment and its specified to solve it using power series- maciejj
- Post #5
- Forum: Calculus and Beyond Homework Help
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Mass-spring-damper system solve for x(t) using power series
mx^''=-kx-cx' x^''+c/m x^'+k/m x=0 Putting known values into equation: x^''+100/10 x^'+1000/10 x=0 x^''+10x^'+100x=0 Now solving using power series: Let assume that: x(t)=a_0+a_1 t+a_2 t^2+a_3 t^3+.. t_0=0,x_0=0.04 so a_0=0.04...- maciejj
- Post #3
- Forum: Calculus and Beyond Homework Help
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Mass-spring-damper system solve for x(t) using power series
Homework Statement A mass of 10kg is suspended from vertical spring of stiffens 100N/m and is provided with dashpot damper having damping coefficient of 1000Ns/m. The mass is pulled down the distance of 4cm from its equilibrium position and than released. Establish the differential equation...- maciejj
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- Power Power series Series System
- Replies: 9
- Forum: Calculus and Beyond Homework Help