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3y(dy/ dx)=-3x ; y(2)=-π unique or not?
Solve the differential equations y"-3y'+2y=0
Solve the following ODE using the power series method:
(x2 −1) y′′ + 3xy′ + xy = 0

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


Solve the following

dy/dx=(x-y-2)/(x+y+6)

y(y2+1)dx+x(y2−1)dy=0


Find the orthogonal trajectories of the family of parabolas x=cy²
Using Jacobi's method find the complete integral of the equation
2u₁xz + 3u₂y² + u₂²u₃ = 0
Solve :
(D²-2DD´+D´²)z = 12xy
Find the complete integral of
p²+q²-2px-2qy+1=0
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