Question

Find the general solution to the non-homogeneous differential equation.

y'' + 4y' + 3y = 2x^{2}

y(x) =

Answer #1

Find the general solution of the given differential equation
y''-4y'+4y=2x2+4xe2x

Find the general solution of the non-homogeneous differential
equation y "+ y = csc² x.

Find the general solution of the differential equation:
y''' - 3y'' + 3y' - y = e^x - x + 16
y' being the first derivative of y(x), y'' being the second
derivative, etc.

Find the general solution of the following differential
equation:
y^4 - 3y''' + 3y'' - 3y' + 2y = 0

Second-Order Linear Non-homogeneous with Constant Coefficients:
Find the general solution to the following differential equation,
using the Method of Undetermined Coefficients.
y''− 2y' + y = 4x + xe^x

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

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)

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

B. a non-homogeneous differential equation, a complementary
solution, and a particular solution are given. Find a solution
satisfying the given initial conditions.
y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc=
C1e-x+C2e3x
yp = -2
C. a third-order homogeneous linear equation and three linearly
independent solutions are given. Find a particular solution
satisfying the given initial conditions
y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0
y1=ex, y2=e-x,,
y3= e-2x

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