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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 differential equations problems step by step online.

$\frac{1}{1.5-0.8y}dy=\frac{1}{0.5+0.8x}dx$

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Learn how to solve differential equations 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. 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}{1.5-0.8y}dy and replace the result in the differential equation. Solve the integral \int\frac{1}{0.5+0.8x}dx and replace the result in the differential equation.

Final answer to the problem

$-\frac{5}{4}\ln\left|1.5-0.8y\right|=\frac{5}{4}\ln\left|0.5+0.8x\right|+C_0$

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Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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