Question

solve the differential equation of (D^3-9D^2+23D-15)y=0​

Answer 1

Answer:

The solution is: y = c1*e^(3x) + c2*e^(x) + c3*e^(5x)

Step-by-step explanation:

• The solution to this third order equation can be found by solving the third order equation given.
• The equation D^3 - 9D^2 + 23D - 15 can be solved using general factorisation method or by using your calculator. The solutions come out to be 3, 1 and 5.
• The general equation is given as y = c1*e^(m1*x) + c2*e^(m2*x) + c3*e^(m3*x).
• Here, m1, m2 and m3 are the solutions for the differential equation.