SOLUTION: Solve the equation d^3y/dx^3 +2d^2 y/dx^2 -13dy/dx +10y=0 ? (5marks)

Algebra.Com
Question 1025057: Solve the equation
d^3y/dx^3 +2d^2 y/dx^2 -13dy/dx +10y=0 ? (5marks)

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!

Using the D-notation, the differential equation becomes

<==> (D-2)(D-1)(D+5)y = 0, after factorization

==>the general solution is

RELATED QUESTIONS

Find the particular integral for the differential equation X^2 d^2 /dx^2 -X dy/dx... (answered by robertb)
Find a general solution of the differential equation: d^(4)y/dx^(2) -4 d^(3)y/dx^(3)... (answered by fractalier)
if dy/dx = sec(x) , dt/dx = tan(x) - 3, then ,(d ^2 y)/(dt ^2) =... when(x =... (answered by mccravyedwin)
Please help me answer the following question: (a) Determine the particular solution of (answered by rothauserc)
Please help me answer the following question: (a) Determine the particular solution of (answered by math_helper)
solve the differential equation: y dy/dx = x(y^4 + 2(y)^2 + 1) at x= -3 ,... (answered by solver91311,ikleyn)
Please help me solve this equation: Explain why the following integrals are improper and (answered by Fombitz)
Find dy/dx of (3y^2/(1-3xy)) and find the point on the curve where dy/dx =... (answered by Edwin McCravy)
Find the Equation of a Tangent Line to f(x) = 3x^2 - 11x + 23 at the point (1,15) I've (answered by robertb)