Use the method for solving equations of the form $\frac{dy}{dx}=G(ax+by)$ to solve the following differential equation.

$\frac{dy}{dx}=2sin(10x-5y)$

Derive and simplify the differential equation for $\frac{dz}{dx}$ where $z=10x-5y.$

$\frac{dz}{dx}=$

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