Find a general solution for the given
linear system using the elimination method of Section 5.2.
The general solution is
In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
We will do the following question on the basis of solving linear system using the elimination method;
Hence, the final answer is:
Higher-Order Cauchy–Euler Equations. A differential equation that can be expressed in the form
where are constants, is called a homogeneous Cauchy–Euler equation. (The second-order case is discussed in Section 4.7.) Use the substitution to help determine a fundamental solution set for the following Cauchy–Euler equations:
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