My first Magazine MATH 450 Technology levels--snaptutorial.com | Page 6

Homework Problem Work
1. Find a general solution of the given ODE y''+15y'+50y =0 by
converting it to a system. Verify the result using the previously known
analytical method of solving second-order ODE.
2. Find a general solution of the given ODE y''+2y'-24y = 0 by
converting it to a system. Verify the result using the previously known
analytical method of solving second-order ODE.
3. Find a real general solution of the system:
6. Convert the given ODE to a system form first and then
determine the eigenvalues, coefficients p, q, and determinant .
Determine the type of critical point based on these values.
7. Find a general solution of the system:
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MATH 450 Week 6 Quiz
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1.(TCO 5) Apply the power series method to obtain the solution of .
Compare this with the result obtained using MATLAB dsolve function.
2.(TCO 5) Solve the initial value problem of using power series
method given .