What is the general solution of y′=yx+sin(y/x)y' = \frac{y}{x} + \sin(y/x)y′=xy+sin(y/x)?
ln∣tan(v/2)∣=ln∣x∣+C\ln|\tan(v/2)| = \ln|x| + Cln∣tan(v/2)∣=ln∣x∣+C
ln∣cot(v/2)∣=ln∣x∣+C\ln|\cot(v/2)| = \ln|x| + Cln∣cot(v/2)∣=ln∣x∣+C
tan(v)=x+C\tan(v) = x + Ctan(v)=x+C
v=sin(x)+Cv = \sin(x) + Cv=sin(x)+C