Homework SourseFind the General Solution to the ODE 4y4y17y0SolutionGiven e
Find the General Solution to the ODE:
4y\'\'+4y\'+17y=0
Solution
Given equation is 4y\'\'+4y\'+17y=0
i.e. [4D2 + 4D + 17] y = 0
The auxiliary equation is
4m2 + 4m + 17= 0
On solving,
m = (-1/2) ± 2i
Therefore,
general solution is
y = c1 e-(1/2)x cos2x + c2 e-(1/2)x sin2x
![Find the General Solution to the ODE: 4y\'\'+4y\'+17y=0SolutionGiven equation is 4y\'\'+4y\'+17y=0 i.e. [4D2 + 4D + 17] y = 0 The auxiliary equation is 4m2 + 4m](/WebImages/12/find-the-general-solution-to-the-ode-4y4y17y0solutiongiven-e-1012160-1761522594-0.webp "Find the General Solution to the ODE: 4y\'\'+4y\'+17y=0SolutionGiven equation is 4y\'\'+4y\'+17y=0 i.e. [4D2 + 4D + 17] y = 0 The auxiliary equation is 4m2 + 4m")
