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integral curve of dx/y^2+yz+x^2= dy/y^2-xz+x^2=dz/z(x+y)
Solve the method of separation of variables du/dx+u=du/dt if u=4e–3x when t= 0

Solve the differential equation 2y'''+ y''- 8y- 4y = 7 - 2e-x - cos(2x).


Find the particular solution of the differential equation 8d2x/dt2 + 16dx/dt -5x =0, when x(0) = 16 and x'(0) = -8.


Solve the following differential equations:

  1. 8(8-y2)1/2 ln xdx + (8y-5) xdy = 0
  2. dy/dx = ((x2 - y2)/x2))1/2 + y/x

Solve the differential equation 2y'''+ y''- 8y' - 4y = 7 - 2e-x - cos2 (2x).


Determine the general solution of 8d2y/dx2 - 2dy/dx + 8y = cos(8x) + 8x3 - 3x.


Solve the method of separation of variables du/dx+u=du/dt if u=4e–3x when t= 0

𝑦(2𝑥𝑦 + 1)𝑑𝑥 − 𝑥𝑑𝑦 = 0


Find the general solution of the following

2x2y''+(x+2)y'+y=0