Question

Give the general solution to the differential equation that has the
roots m= 1,1,-5, 2 +or- 3i

Answer #1

Give the solution to a homogeneous differential equation with an
auxiliary equation having the roots (a+bi), (a-bi), (a+bi), and
(a-bi)?

suppose that the characteristic equation of third order
differential has roots +-2i and 3
i) What is the characteristic equation?
ii) find the corresponding Differential equation?
iii) Find the general solution?

Find the general solution of the given differential equation.
Give the largest interval over which the general solution is
defined.
y'+2xy=x5

Find the general solution of the given differential equation.
Give the largest interval over which the general solution is
defined.
y'+2xy=x5

Solve this SHM, the m=2 m/s and k=8. Write a 2nd order differential
equation and give a general solution as sum of sin and cosine. then
give a specific solution as x intial is 2 and v intial is -4. What
time does it mass through equilibrium?

Please explain in detail show all steps
y"-2y'=6e2t+4
Give the general solution to this differential equation

Find the general solution of the given differential
equation.
(2 + 3x)^2 y'' − 3(2 + 3x)y' + 9y = 81x x > −
2/3

Use the METHOD of REDUCTION OF ORDER to find the general
solution of the differential equation y"-4y=2 given that y1=e^-2x
is a solution for the associated differential equation. When
solving, use y=y1u and w=u'.

Find the general solution to the differential equation: y’’ – 6
y’ + 13y = 0
Find the general solution to the differential equation: y’’ +
5y’ + 4y = x + cos(x)

find the general solution of the given differential
equation:
4y′′−4y′+y=16e^t/2

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