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I'm taking the Differential Equations for the first time, and I want to know the most helpful textbook for the subject.

We had the following example:

Find the differential equation which its general solution is:

[itex]y=C_{1}+C_{2} x+x^{2}[/itex]

Solution:

[itex]y^{'}=0+C x+2x[/itex]

[itex]y^{''}=0+0+2[/itex]

Solving:

[itex]

\begin{bmatrix}

y-x^{2} & 1 & x \\

y^{'}-2x & 0 & 1 \\

y^{''}-2 & 0 & 1

\end{bmatrix}

y^{''}=2

[/itex]

How and why did the equations become like that?

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# Differential equations and Cramer's rule

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