Differential Equations Answers

(2xz-yz)dx+(2yz-zx)dy-(x2-zx+y2)dz=0

find the integral surface of the equation (x-y)y^2*p + (y-x)x^2*q = (x^2+y^2)z through the curve xz = a^3 and y = 0

find the general solution of the equation 2x(y+z^2)p + y(2y+z^2)q = z^3. and deduce that

yz(z^2+yz-2y) =x^2 is a solution.

solve dx/2x(y+z^2) = dy/y(2y+z^2) = dz/z^3 find two solutions

solve dx/(x-y)y^2 = dy/(y-x)x^2 = dz/x^2+y^2

In orthogonality of legendre polynomials, why the limits of integral is from -1 to 1

Why integral t²(-e^-t) with limits t= 0, ∞ becomes zero.

(x2 + y2)dx + x(x − 2y)dy = 0

solve ( 3x y^3 + 2y )dx + (2x^2 y + x ) dy = 0

1/xy²+y⁴ is an integrating factor for the differential equation (x²y+y²)dx+(y³-x³)dy=0.

y1/x