Question

If y = -3 csc (3-7x^2), find dy/dx.

Answer #1

Solve the DE:
x(y+1)dx + [(y^2+1)csc(3x)]dy=0

Find the solution of the following differential
equation:
(?^3 y/dx^3)-7(d^2 y/dx^2)+10(dy/dx)=e^2x sinx

Find dy/dx if y= (x^3+5x)(4x^2+10)^9

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

Find dy/dx by implicit differentiation:
A.). x^4 + y^3 = 3
B.). 5x^2 +3xy - y^2 =7
C.) x^3(x+y) = y^2(4x-y)

Find dy dx/dy implicit differentiation. (x + y^2)10 = 9x^2 +
2

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

a. *If
y=x3+7/x^2/3
, then find dy/dx . Make sure your answer is
fully simplified.
b. *If y=5x-84x+3 , then
find dy/dx .
c. *If
x=(x2-5x+3)(2x2+4)
, then find f ‘(x).
Please neatly show your work.

Solve the following differential equations.
a.) dy/dx+2xy=x, y(0)=2
b.) ?^2(dy/dx)−?y=−y^2

Homogeneous Differential Equations:
dy/dx = xy/x^(2) - y^(2)
dy/dx = x^2 + y^2 / 2xy

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