Final Answer
Step-by-step Solution
Specify the solving method
Divide both sides of the equation by $dx$
Learn how to solve problems step by step online.
$\frac{\frac{dy}{\left(2y+3\right)^2}}{dx}=\frac{\frac{dx}{\left(4x+5\right)^2}}{dx}$
Learn how to solve problems step by step online. Solve the differential equation dy/((2y+3)^2)=dx/((4x+5)^2). Divide both sides of the equation by dx. Divide fractions \frac{\frac{dy}{\left(2y+3\right)^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}. Divide fractions \frac{\frac{dx}{\left(4x+5\right)^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}. Simplify the fraction \frac{dx}{\left(4x+5\right)^2dx} by dx.