Differential Equations Answers

1.(x-y+1)dx+(x+4y+1)dy=0

2.(6x-3y+2)dx+(2x-y-1)dy=0

Find a integral surface of the differential equation p^2x+ pqy =2pz+x, passing through the line y=1, x=z

Simultanius ordinary diff. Eqn dx/x^2-y^2-z^2=dy/2xy=dz/2zx

Which values of k and t can make y'=a*(x^k)+b*(y^t) a homogeneous equation with the help of y=z^m

If y(t)=c*e^(-2t)+t+1 is general solution to y'+p(t)*y=g(t), then p(t) and g(t)=?

Find the integral surface of the differential equation x(z+2)p+(xz+2yz+2y)q=z(z+1) passing through the curve x0= s^2, y0= 0 and z0 = 2s

Find the integral surface of the differential equation (x-y)p+(y-x-z)q=z passing through the circle z=1, x^2+y^2=1

Solve the given homogeneous differential equation
X2dy+y(x+y)dx=0

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).
x^2 y'' +8y' +10y =0 y(1) = 0 , y'(1) = 2.5