Solution of IDZ Ryabushko 11.4 - Option 4

Section: Chapter 11. Ordinary Differential Equations
Topic: Applied Problems and Mixed Types of Differential Equations
Description: Solving Cauchy problems for first-order differential equations of various types (linear, Bernoulli, separable, homogeneous) with finding a particular solution. Formulating and solving differential equations based on geometric conditions: tangent, normal, area, intercepts on coordinate axes.

Tasks:
1. Find the particular solution of a linear homogeneous differential equation.
2. Solve the system of differential equations in two ways: a) by reducing to a differential equation of higher order; b) using the characteristic equation.
3. Solve the differential equation by the method of variation of arbitrary constants.
4. Solve the following problems.

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