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Differential Equations
Find the integral surface of the partial differential equation (x-y)y^2p+(y-x)x2q=(x^2+y^2) which passes through xz= a^3,y=0
Differential Equations
Solve the following
dy/dx=(x-y-2)/(x+y+6)
dy/dx=(x-y-2)/(x+y+6)
Differential Equations
y(y2+1)dx+x(y2−1)dy=0
Differential Equations
Find the orthogonal trajectories of the family of parabolas x=cy²
Differential Equations
Using Jacobi's method find the complete integral of the equation
2u₁xz + 3u₂y² + u₂²u₃ = 0
2u₁xz + 3u₂y² + u₂²u₃ = 0
Differential Equations
Solve :
(D²-2DD´+D´²)z = 12xy
(D²-2DD´+D´²)z = 12xy
Differential Equations
Find the complete integral of
p²+q²-2px-2qy+1=0
p²+q²-2px-2qy+1=0
Differential Equations
Find the integral surface of the linear PDE
x(y²+z)p - y(x²+z)q = (x²-y²)z , which contains the straight line x+y =0 , z=1 .
x(y²+z)p - y(x²+z)q = (x²-y²)z , which contains the straight line x+y =0 , z=1 .
Differential Equations
Find the orthogonal trajectories of the family of parabolas x = cy²
Differential Equations
(D² + 3DD '+ 2D'²) z = x+y
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#340153 on Dec 2023
#340153 on Dec 2023