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Differential Equations
(D3 - 1)y = 4 sin x.
Differential Equations
Find a linear homogeneous differential equation, whose solutions are {e^x,e^-x,e^x-2e^-x}
Differential Equations
Find the integrals of the Pfaffian differential equation
z(z-y)dx+z(x+z)dy+x(x+y)dz=0
z(z-y)dx+z(x+z)dy+x(x+y)dz=0
Differential Equations
Find the integral of the Pfaffian differential equation
(1+yz)dx+x(z-x)dy-(1+xy)dz=0
(1+yz)dx+x(z-x)dy-(1+xy)dz=0
Differential Equations
Find the general integral of
(x^3-3xy^2)p+(y^3+3x^2y)q=2(x^2+y^2)z
(x^3-3xy^2)p+(y^3+3x^2y)q=2(x^2+y^2)z
Differential Equations
(x^2+1)d^2y/dx^2-(2x)dx/dy+2y=6(x^2+1)^2 solve it ODE
Differential Equations
1.(x-y+1)dx+(x+4y+1)dy=0
2.(6x-3y+2)dx+(2x-y-1)dy=0
2.(6x-3y+2)dx+(2x-y-1)dy=0
Differential Equations
Find a integral surface of the differential equation p^2x+ pqy =2pz+x, passing through the line y=1, x=z
Differential Equations
A second order homogenous differential equation with constant coefficient and polynomial coefficient is given, apply Euler-Cauchy equation to solve the given differential equation by using the provided initial value problem (IVP).
2 x y 8y 10y 0, y(1) 0 , y(1) 2.5
Differential Equations
Simultanius ordinary diff. Eqn dx/x^2-y^2-z^2=dy/2xy=dz/2zx
