Differential Equations Answers

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

SOLVE THE GIVEN DIFFERENTIAL EQUATION BY SEPARATION OF VARIABLES
DY/DX=Y-2/X-1
Y(2)=2

x^2(y-1)uxx-x(y^2-1)uxy+y(y-1)uyy+(xy)ux-uy =0
Reduce into canonical form and solve it

How to solve
Determine if the following W = (y+z)dx + (x+z)dy + (x+y)dz has a primitive.