Differential Equations Answers

z=e^(x-2y) x=cost y=sint dz/dt=?

The difference equation generated by y=a/x+b

dy/dx= −(x^2/y^2)+1/[3y^2(x3+ y3)^2]

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