Question

Find the general solution of the given higher order differential equation

y^(4) + 4y^(3) − 4y^(2) − 16y^(1) = 0

Derivatives of Y not power

Answer #1

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

Find the general solution of the differential equation
10y' + 4y/x = 1/y^4

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 of the differential equation:
y''+2y'+4y=xcos3x

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)

26. Find the solution of the differential equation.
y'' +4y' +4y =0 ; y(-1)=2 and y'(-1)=-1

ﬁnd the general solution of the given differential equation
1. y''−2y'+2y=0
2. y''+6y'+13y=0
ﬁnd the solution of the given initial value problem
1. y''+4y=0, y(0) =0, y'(0) =1
2. y''−2y'+5y=0, y(π/2) =0, y'(π/2) =2
use the method of reduction of order to ﬁnd a second solution of
the given differential equation.
1. t^2 y''+3ty'+y=0, t > 0; y1(t) =t^−1

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

Find the general solution to the non-homogeneous differential
equation.
y'' + 4y' + 3y = 2x2
y(x) =

Power series
Find the particular solution of the differential equation:
(x^2+1)y"+xy'-4y=0 given the boundary conditions x=0, y=1 and y'=1.
Use only the 7th degree term of the solution. Solve for y at x=2.
Write your answer in whole number.

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