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Combine $1+\frac{4y}{x}$ in a single fraction
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$\frac{dy}{dx}=\frac{1+\frac{y}{x}}{\frac{4y+x}{x}}$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(1+y/x)/(1+(4y)/x). Combine 1+\frac{4y}{x} in a single fraction. Combine 1+\frac{y}{x} in a single fraction. Simplify the fraction \frac{\frac{y+x}{x}}{\frac{4y+x}{x}}. We can identify that the differential equation \frac{dy}{dx}=\frac{y+x}{4y+x} is homogeneous, since it is written in the standard form \frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree.
