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Solution

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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality

Learn how to solve quotient rule of differentiation problems step by step online.

$\frac{1}{-1.22-0.656y}dy=\frac{1}{4.35+0.656x}dx$

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Learn how to solve quotient rule of differentiation problems step by step online. . Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{-1.22-0.656y}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{-\left(1.22+0.656y\right)}dy and replace the result in the differential equation.

Final answer to the problem

$-\frac{1}{0.656}\ln\left|0.656y+1.22\right|=\frac{41.6667}{27.3333}\ln\left|4.35+0.656x\right|+C_0$

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Main Topic: Quotient Rule of Differentiation

The quotient rule is a formal rule for differentiating problems where one function is divided by another.

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