Differential Equations Answers

1 /xy + y is an integrating factor for the differential equation (x^2y + y^2)dx +( y^3-x^3)dy=0. True or false an

The point of trisection of a string are pulled aside through a distance ∈ on opposite sides of the position of equilibrium and the string is released from rest. Derive an expression for the displacement of the string at any subsequent time and show that the midpoint of the string always remains at rest..

x²(d²y/dx²) + x(dy/dx) - 4y = x³

(y+z)dx+(z+x)dy+(x+y)dz=0 find the solution

 (1+lnx) dx + (1+lny)dy = 0

what is the integrating factor of the non-exact differential equation (3x^2+y^3+4)dx+(x^2-2xy)dy=0

A tightly stretched string of length ‘l’ has its ends fastened at x=0, x=l. The midpoint

of the string is then taken to height ‘h’ and then released from rest in that

position. Find the initial displacement y(x,0) of the string.

y'=1+x-2y

solve x²(y-z)p+y²(z-x)q=z²(x-y)=0

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