Question

2y dy÷dx+y^2cotx=cosecx

Answer 1

$2yy'+y^2\cot x=\csc x\\\\(y^2)'+y^2\cot x=\csc x\\\\\text{Sea z=y^2 entonces: }\\\\z'+z\cot x=\csc x\\\\z'\sin x+z\cos x=1\\\\(z\sin x)'=1\\\\z\sin x = x+C\\ \\\boxed{y^2\sin x = x+C}$