Question

The solution of $\frac{dy}{dx} = (x + y)^2$ is

• A. $\tan^{-1}(x + y) = x + c$, where c is the constant of integration
• B. $x + y = \tan x + c$, where c is the constant of integration
• C. $x + y = \cot^{-1} x + c$, where c is the constant of integration
• D. $x + y = \sin^{-1}(x + y) + c$, where c is the constant of integration

Hint:

Always try the substitution $v = x+y$ when they appear together inside a function in a DE.

Answer 1

The Correct Option is A