Can someone help me approach this problem correctly please:
Find the sol. of the differential equation
My answer: y= -ln(2*sin(x)+C)
a)sketch three soltuions corresponding to severeal values of constant of integration, C. Does every value of the consnt of intergration corespond to a solution curve? If not, which Cs do occur?
I graphed 3 solutions, but I don't get the second part.
b)Explain if all solutions have the same domain?
I can answer this if i completely get part a
c) sketch the direction feild assosiated with this equation and superimpose your sketches of the solution curves on the direction feild. (suggestion for sketching direction feild: sketch several points along the line t=0, then at the coresponding points along the lines t=pi/6, pi/3, pi/2, etc.
i dont know how to start part c
Ill appreciate any kind of help; thanks