Question

X³sec²y dy/dx + 3x²tany=cosx

Answer 1

Answer:the answer of the question is

x^3×tany=sinx+c, [where c is arbitrary constant

Step-by-step explanation:We know, d/dx(x^3×tany) =3x^2×tany+x^3×sec^2y×dy/dx

So from the given equation we get,

d/dx(x^3×tany) =cosx

This implies, d(x^3×tany) =cosx dx

Integrating both sides, we get,

This implies, x^3×tany=sinx+c

Answer 2

We can get easily as this direct exact equation