Word Count : 307

---

We are asked to solve the differential equation: $$ \frac{dy}{dx} = -\frac{2x + y + 1}{4x + 2y - 1}. $$ First, observe that both numerator and denominator are linear in $x$ and $y$. Let's try the substitution method. Let $$ u = 2x + y. $$ Then, differentiate $u$ with respect to $x$: $$ \frac{du}{dx} = 2 + \frac{dy}{dx}. $$ _____ ________ ___ ____ ______ _______ ______ ___.
____ _________ __________ ____ ____ ________ _____ ____ ____.
_______ __________ _____ ______ _________ _______ __________ ____ ____ _________ __________ ___.
______ _________ ____ ______ _______ ___ _________ _______.
__________ ____ ___ _____ _________ __________ ___.
_______ _______ ______ _____ ________ _________ _____ ___ ____ _____ ______ _______.
___ _________ _________ _________ ___ _______ ___.
________ _____ ___ ______ __________ ______ _____ ___.
__________ ______ __________ __________ _____ _______ ____ __________ _____ _________ _____.
_____ ___ ___ _______ _______ _______ _______ ________ ____.
___ ____ __________ _____ ________ ____ ________ _________ ____ ___.
____ ___ _____ _______ ______ _______ ___ ______ ______ ____ _____ ____.
__________ _________ _____ __________ __________ ___ _________ _______ _____.
______ ________ _________ ________ __________ ____ ___ _________ _______ __________.
____ _________ ______ _______ _________ _____ ______ __________ ______ ________ ________.
________ ___ ________ __________ ______ __________.
______ __________ __________ ______ __________ ________ ________ ___ ___.
_________ _________ ______ ___ _______ ______ ____ _____.
___ ______ __________ __________ ________.
________ _______ ________ ______ _________ _________ _________ ____ _______ ____ ____.
____ ______ _____ ___ __________ __________ ____ ____ __________ ____ _____.
__________ ______ ________ _________ ________.
______ _________ ________ ________ __________ __________ ___ ______.
___ _____ _____ _______ __________ _________ ______ ___ _______ __________ __________.
_____ _____ ________ ________ ____ __________ _______ ____ _____ _______ _________ __________.
_______ ______ ________ ___ ___ ________ ___ ________ _______ _________.
________ ______ _________ _____ ________ _____ _______.
Get Full Answer on WhatsApp