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y′′′−2y′′−y′+2y=e4x


variation of paramaters


Solve : (D^2-2D+4) y=8x^2e^2x sin2x
Solve : d2y/dx2+a2y=sec ax
Solve : (x^3+xy^2+a^2y) dx+(y^3+yx^2+a^2x) dy=0
ind the general solution of the given system.
dx /dt = 3x − y − z
dy /dt = x + y − z
dz /dt = x − y + z x(t), y(t), z(t) =
Y^4-y=x
Solve
(2√xy -y)dx- xdy=0
Solve
(D-3D'-2)^2.z= 2e^2x.sin(2y+x)
By the method of variation of parameters, solve the following differential equation:
d^2y/dx^2+4y =4 tan2x
Solve the equation by method of variation of parameters: x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)-y=x^(2)e^(x)
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