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.
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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