2.3.1 general solution of 4th order DE
0/1 point (graded)
Provide a general solution formula for the differential equation
y'''' - 17y''' + 104y'' - 268y' + 240y = 0,
where' means $\frac{d}{dx}$. Use c1, c2, c3, c4 for the arbitrary constants.
y = c1*e^(2)+c2*e^(4)+c3*e^(5)+c4*e^(6)
y = c1 \cdot e^2 + c2 \cdot e^4 + c3 \cdot e^5 + c4 \cdot e^6
Hint:
import sympy as sp
r = sp.symbols('r')
sp.solve(r**4 - 20*r**3 + 137*r**2 - 358*r + 240)
[1, 5, 6, 8]