ODE No. 1452

\[ y^{(3)}(x)+3 y'(x)-4 y(x)=0 \] Mathematica : cpu = 0.0055018 (sec), leaf count = 54

DSolve[-4*y[x] + 3*Derivative[1][y][x] + Derivative[3][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to c_3 e^x+c_2 e^{-x/2} \cos \left (\frac {\sqrt {15} x}{2}\right )+c_1 e^{-x/2} \sin \left (\frac {\sqrt {15} x}{2}\right )\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 35

dsolve(diff(diff(diff(y(x),x),x),x)+3*diff(y(x),x)-4*y(x)=0,y(x))
 

\[y \left (x \right ) = {\mathrm e}^{x} c_{1}+c_{2} {\mathrm e}^{-\frac {x}{2}} \sin \left (\frac {\sqrt {15}\, x}{2}\right )+c_{3} {\mathrm e}^{-\frac {x}{2}} \cos \left (\frac {\sqrt {15}\, x}{2}\right )\]