diff --git a/analyse/exercices/main.tex b/analyse/exercices/main.tex
index 17fb9bd..ddbf208 100644
--- a/analyse/exercices/main.tex
+++ b/analyse/exercices/main.tex
@@ -33,8 +33,12 @@
                         y_1' = 2ax + b \\
                     \end{array}
                     \right.
-                    \quad y_1' - 2 y_1 = x^2 \Leftrightarrow
+                \end{align*}
+                \begin{align*}
+                    y_1' - 2 y_1 = x^2
+                    &\Leftrightarrow
                     2ax + b - 2(ax^2 + bx + c) = x^2 \\
+                    &\Leftrightarrow
                     \left\{
                     \begin{array}{l}
                         -2a = 1 \\
@@ -49,12 +53,13 @@
                         b = \sfrac{-1}{2} \\
                         c = \sfrac{-1}{4} \\
                     \end{array}
-                    \right. \\
+                    \right.
+                \end{align*}
+                \begin{align*}
                     \implies y_1 = -\frac{1}{2}x^2 -\frac{1}{2}x -\frac{1}{4}
                 \end{align*}
 
             \item Solution générale
-
                 \begin{equation*}
                     y = y_0 + y_1 = \boxed{-\frac{1}{2}x^2 -\frac{1}{2}x -\frac{1}{4} + \lambda e^{2x}}
                 \end{equation*}
@@ -80,17 +85,20 @@
                         y_1' = ae^{3x} + 3axe^{3x} = (3ax + a)e^{3x} \\
                     \end{array}
                     \right.
-                    \quad 3y_1' - 9y_1 = 7e^{3x}
+                \end{align*}
+                \begin{align*}
+                    3y_1' - 9y_1 = 7e^{3x}
                     &\Leftrightarrow 3(3ax + a)e^{3x} - 9axe^{3x} = 7e^{3x} \\
                     &\Leftrightarrow (9ax + 3a)e^{3x} - 9axe^{3x} = 7e^{3x} \\
                     &\Leftrightarrow 9ax + 3a - 9ax = 7 \\
                     &\Leftrightarrow 3a = 7 \\
-                    &\Leftrightarrow a = \frac{7}{3} \\
+                    &\Leftrightarrow a = \frac{7}{3}
+                \end{align*}
+                \begin{align*}
                     \implies y_1 = \frac{7}{3}xe^{3x}
                 \end{align*}
 
             \item Solution générale
-
                 \begin{equation*}
                     y = y_0 + y_1 = \lambda e^{3x} + \frac{7}{3}xe^{3x} = \boxed{(\frac{7}{3}x + \lambda)e^{3x}}
                 \end{equation*}
@@ -116,15 +124,18 @@
                         y_1' = 3ae^{3x} \\
                     \end{array}
                     \right.
-                    \quad 2y_1' - 4y_1 = 5e^{3x}
+                \end{align*}
+                \begin{align*}
+                    2y_1' - 4y_1 = 5e^{3x}
                     &\Leftrightarrow 6ae^{3x} - 4ae^{3x} = 5e^{3x} \\
                     &\Leftrightarrow 2a = 5 \\
-                    &\Leftrightarrow a = \frac{5}{2} \\
+                    &\Leftrightarrow a = \frac{5}{2}
+                \end{align*}
+                \begin{align*}
                     \implies y_1 = \frac{5}{2}e^{3x}
                 \end{align*}
 
             \item Solution générale
-
                 \begin{equation*}
                     y = y_0 + y_1 = \boxed{\lambda e^{2x} + \frac{5}{2}e^{3x}}
                 \end{equation*}
@@ -168,8 +179,29 @@
                         4a - 8b = 0 \\
                     \end{array}
                     \right.
-                    % TODO: finish
+                    \Leftrightarrow
+                    \left\{
+                    \begin{array}{l}
+                        10b = 3 \\
+                        4b - 2a = 0 \\
+                    \end{array}
+                    \right. \\
+                    &\Leftrightarrow
+                    \left\{
+                    \begin{array}{l}
+                        b = \sfrac{3}{10} \\
+                        a = \sfrac{12}{20} = \sfrac{3}{5} \\
+                    \end{array}
+                    \right.
                 \end{align*}
+                \begin{align*}
+                    \implies y_1 = \frac{3}{5}\cos(2x) + \frac{3}{10}\sin(2x)
+                \end{align*}
+
+            \item Solution générale
+                \begin{equation*}
+                    y = y_0 + y_1 = \boxed{\lambda e^{-4x} + \frac{3}{5}\cos(2x) + \frac{3}{10}\sin(2x)}
+                \end{equation*}
 
         \end{enumerate}