Solving DE homework allows us to understand and analyze the behavior of a system over time. It also helps us to make predictions and solve real-world problems in various fields such as physics, engineering, and economics.
The first step is to identify the type of DE and determine if it is separable, linear, or exact. In this case, the DE is separable.
To solve a separable DE, we need to separate the variables and integrate both sides. In this case, we will separate the y and x terms and then integrate using the appropriate integration techniques.
The natural logarithm is used to solve the DE by separating the variables. It also helps us to eliminate the exponential term, making the equation easier to solve.
This DE can be solved analytically by finding the general solution using integration techniques. It can also be solved numerically using computer software or numerical methods such as Euler's method or the Runge-Kutta method.