y'*tgx-y=1
dy/dx*tgx-y=1
dy/dx =(y+1)ctg(x)
dy/(y+1) = ctgxdx
∫dy/(y+1)= ∫ctgxdx
ln|y+1|=ln|sinx|+C
y+1=e^(ln|sinx|+C)
y=C1e^(ln|sinx|)-1
y=C1|sinx|-1
-1/2 = C1|sin(п/6)|-1
C1*1/2=1/2
C1=1
y=|sinx|-1
y'*tgx-y=1
dy/dx*tgx-y=1
dy/dx =(y+1)ctg(x)
dy/(y+1) = ctgxdx
∫dy/(y+1)= ∫ctgxdx
ln|y+1|=ln|sinx|+C
y+1=e^(ln|sinx|+C)
y=C1e^(ln|sinx|)-1
y=C1|sinx|-1
-1/2 = C1|sin(п/6)|-1
C1*1/2=1/2
C1=1
y=|sinx|-1