Originally Posted by

**coe236** Hey,

Can someone help me approach this problem correctly please:

Find the sol. of the differential equation

e^(-y)dy/dt+2*cos(t)=0

*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