Question

cos(xy) = 1 + sin4y

find dy/dx

Answer #1

find dy/dx of xy-sin(xy) =1

i)Please state if the following equations are exact or not:
(a) (sin(xy) − xy cos(xy))dx + x^2 cos(xy)dy = 0
(b) (x^3 + xy^2 )dx + (x^2 y + y^3 )dy = 0
ii) Determine if the following equation is exact, and if it is
exact, find its complete integral in the form g(x, y) = C:
(3(x)^2 + 2(y)^2 )dx + (4xy + 6(y)^2 )dy = 0

Find general solution to the equations:
1)y'=x-1-y²+xy²
2)xy²dy=(x³+y³)dx

Find a general solution: (dy/dx) = (x+xy^2)/2y

Consider the polar curve r =1 + 2 cos(theta). Find dy dx at
theta = 3 .

Solve the given differential equations:
a) dy/dx=(x+1)^2
b) (x+1)dy/dx-xy=x^2+x

Evaluate ∮C(x^3+xy)dx+(cos(y)+x2)dy∮C(x^3+xy)dx+(cos(y)+x^2)dy
where C is the positively oriented boundary of the region bounded
by C:0≤x^2+y^2≤16, x≥0,y≥0C:0≤x^2+y^2≤16,x≥0,y≥0

find dx/dx and dz/dy
z^3 y^4 - x^2 cos(2y-4z)=4z

Given the polar curve: r = cos(theta) - sin(theta)
Find dy/dx

solve the differential equation...
(x2-1)(dy/dx)+xy=0

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