A homogeneous differential equation is a type of equation that can be expressed in the form dy/dx = f(y/x) or dx/dy = g(y/x). The most effective approach to solving this equation is by using the substitution method, where either v = y/x or v = x/y is substituted. This subsequently leads to a separable differential equation which can then be solved.
| Topic | Problem | Solution |
|---|---|---|
| None | Solve the given differential equation by using an… | Given the homogeneous differential equation \(x dx+(y-2 x) dy=0\) |
| None | e 7 : solve the following differential equation :… | Find the characteristic equation: \(r^2 - 1 = 0\) |