Posts tagged cramer's rule
Cramer's rule for solving systems

Cramer’s Rule is a simple rule that lets us use determinants to solve a system of equations. It tells us that we can solve for any variable in the system by calculating D_v/D, where D_v is the determinant of the coefficient matrix, with the answer column values substituted into the column representing the variable for which we’re trying to solve, and where D is the determinant of the coefficient matrix.

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Using variation of parameters with a system of equations to find the particular solution

Like the method of undetermined coefficients, variation of parameters is a method you can use to find the general solution to a second-order (or higher-order) nonhomogeneous differential equation. Remember that homogenous differential equations have a 0 on the right side, where nonhomogeneous differential equations have a non-zero function on the right side.

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Solution to a nonhomogeneous equation using variation of parameters

Like the method of undetermined coefficients, variation of parameters is a method we can use to find the general solution to a second-order (or higher-order) nonhomogeneous differential equation. We’ll look at variation of parameters, as well as how to use Cramer’s rule with variation of parameters.

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