ODE No. 1464

\[ y^{(3)}(x)-2 y''(x)-3 y'(x)+10 y(x)=0 \]

✓ Mathematica : cpu = 0.0068848 (sec), leaf count = 34

DSolve[10*y[x] - 3*Derivative[1][y][x] - 2*Derivative[2][y][x] + Derivative[3][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to c_3 e^{-2 x}+c_2 e^{2 x} \cos (x)+c_1 e^{2 x} \sin (x)\right \}\right \}\]

✓ Maple : cpu = 0.008 (sec), leaf count = 27

dsolve(diff(diff(diff(y(x),x),x),x)-2*diff(diff(y(x),x),x)-3*diff(y(x),x)+10*y(x)=0,y(x))

\[y \left (x \right ) = c_{1} {\mathrm e}^{-2 x}+c_{2} {\mathrm e}^{2 x} \sin \left (x \right )+c_{3} {\mathrm e}^{2 x} \cos \left (x \right )\]