diff --git a/semester3/analysis-ii/cheat-sheet-rb/main.pdf b/semester3/analysis-ii/cheat-sheet-rb/main.pdf
index a37e62f..a39cef6 100644
Binary files a/semester3/analysis-ii/cheat-sheet-rb/main.pdf and b/semester3/analysis-ii/cheat-sheet-rb/main.pdf differ
diff --git a/semester3/analysis-ii/cheat-sheet-rb/parts/03_diffeq_sol.tex b/semester3/analysis-ii/cheat-sheet-rb/parts/03_diffeq_sol.tex
index 42fd901..88b5259 100644
--- a/semester3/analysis-ii/cheat-sheet-rb/parts/03_diffeq_sol.tex
+++ b/semester3/analysis-ii/cheat-sheet-rb/parts/03_diffeq_sol.tex
@@ -67,10 +67,11 @@ $$
 $$
 \subtext{$v_1,\ldots,v_k$ are the Multiplicities of $\alpha_1,\ldots,\alpha_k$}
 
-\remark If $\alpha_j = \beta + \gamma i \in \C$ is a root, $\bar{\alpha_j} = \beta - \gamma i$ is too.\\
-To get a real-valued solution, apply:
+\remark If $\alpha_j = \beta + \gamma i \in \C$ is a root, $\bar{\alpha_j} = \beta - \gamma i$ is too.
+
+\smalltext{If only solutions in $\R$ are considered, this can be rewritten:}
 $$
-e^{\alpha_j x} + e^{\alpha_i x} = e^{\beta x}\left( \cos(\gamma x) + \sin(\gamma x) \right)
+c_1e^{\alpha_j x} + c_2e^{\alpha_i x} = e^{\beta x}\left( c_1\cos(\gamma x) + c_2\sin(\gamma x) \right)
 $$
 
 \begin{subbox}{Explicit Homogeneous Solution}