Differential Equations Answers

y(2x^2−xy+1)dx + (x−y)dy = 0

y(x + y)dx + (x + 2y − 1)dy = 0

(3x + y − 2)dx − (3x + y + 4)dy = 0

1/xy2+y4 is an integral factor of the differential equation(x2y+y2)dx+(y3-z3)dy=0 true or false

Solve the following equations using appropriate substitutions

a) y' = 5y +( e^−3x)(y^−3)

b) xdy = y(ln x − ln y)dx, y(1) = 4, x > 0.

Solve the following non-homogeneous linear ODE of first order

dy/dx + 3y/3x = 6x^2

xy' - (x+2)y = 0, x0 = 0

Find the integral surface of quasi linear partial differential equation xzp+yzq=-xy which passes through the curve y=x²,z=x³

Solve -y^''-2y^'+2y = e^-2x

y(0)=1

y(infinity )=0

Solve yz² (x²-yz)dx+zx² (y²-zx)dy+xy² (z²-xy)dz=0