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Divide both sides of the equation by $dx$
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$\frac{\frac{x}{5}+\frac{dy}{2}}{dx}=\sin\left(x\right)$
Learn how to solve problems step by step online. Solve the differential equation x/5+dy/2=sin(x)dx. Divide both sides of the equation by dx. Combine \frac{x}{5}+\frac{dy}{2} in a single fraction. Combine dy+\frac{2x}{5} in a single fraction. Divide fractions \frac{\frac{\frac{2x+5dy}{5}}{2}}{dx} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.