Your question is unclear. Please use LaTeX. The sample command for a matrix might be ##\text{\begin{bmatrix} \alpha & \beta \\ \gamma & \delta\end{bmatrix}}##, which gives ##\begin{bmatrix} \alpha & \beta \\ \gamma & \delta\end{bmatrix}##.Success said:Find the general solution of x'=(2, 3, -1, -2)x+(e^t, t). (this is 2x2 matrix, 2 and 3 on the left, -1 and -2 on the right. and e^t on top, t on bottom. I know that the answer for 2x2 matrix is c1*(1, 1)e^t+c2*(1, 3)e^-t but I don't know how to get the other part.)
A general solution is a solution that satisfies all possible values of the variables in a given equation or system of equations. It is not a specific solution, but rather a set of solutions that can be obtained by manipulating the given equation(s).
To find the general solution, you need to first identify the given equation or system of equations. Then, you can use various mathematical techniques, such as substitution, elimination, or graphing, to manipulate the equation(s) and find a set of solutions that satisfy all possible values.
Yes, there can be more than one general solution. In fact, most equations and systems of equations have an infinite number of solutions. This means that there are many different sets of values for the variables that satisfy the given equation(s).
A general solution is a set of solutions that satisfies all possible values of the variables in a given equation or system of equations. A particular solution, on the other hand, is a specific set of values for the variables that satisfies the equation(s). In other words, a particular solution is a subset of the general solution.
Yes, the general solution can be expressed in different forms. Depending on the type of equation or system of equations, the general solution may be written as an algebraic expression, a set of equations, or a graph. It is important to understand the different forms in which a general solution can be expressed in order to fully understand the solution.