Differential Equations Answers

Find the general integral of the equation

(
x − y) p + (y − x − z) q = z
and a particular solution through the circle 1
,1
2 2 z = x + y =

(1-x^ 2 )dy/dx-x^ 2 y=(1+x)* sqrt (1- x^ 2 )

Determine whether the equation is exact . If it is , then solve it . (e ^ t * y + t * e ^ t * y) * d * t + (t * e ^ t + 2) * d * y = 0 .

(y ^ 2 * sin x) * d * x + (1 / x - y / x) * d * y = 0

dy / (3x ^ 2) = (1 + y ^ 2) ^ 1.5 * d * x

xy dx + (2x ^ 2 + 3y ^ 2 - 20) * d * y = 0 .

(2y ^ 2 + 3x) * d * x + 2xydy = 0 .

e ^ (- x) * d * y - (e ^ (- x) * y + y ^ 2) * d * x = 0 .