$$5y^4\frac{\text{d}y}{\text{d}x}$$  

$$y^5\frac{\text{d}y}{\text{d}x}$$  

$$5y^4\text{}$$  

$$y^4\frac{\text{d}y}{\text{d}x}$$  

$$-2x\sin\left(2y\right)\frac{\text{d}y}{\text{d}x}+\cos\left(2y\right)$$  

$$-x\sin\left(2y\right)\frac{\text{d}y}{\text{d}x}+\cos\left(2y\right)$$  

$$2\cos\left(2y\right)\frac{\text{d}y}{\text{d}x}$$  

$$-2x\sin\left(2y\right)\text{d}+2\cos\left(2y\right)$$  

$$\frac{\text{d}y}{\text{d}x}=-\frac{4x+5y}{5x+2y}$$  

$$\frac{\text{d}y}{\text{d}x}=-\frac{4x}{5x+2y}$$  

$$\frac{\text{d}y}{\text{d}x}=-\frac{4x+8}{5x+2y}$$  

$$\frac{\text{d}y}{\text{d}x}=-\frac{4y+5x}{5y+2x}$$