General Solution

An ordinary differential equation is given below. $x^2 \frac{d^2y}{dx^2} = 6y$ Considering $a$ and $b$ as arbitrary constants, the general solution of the equation is

The second-order differential equation in an unknown function u: u(x, y) is defined as $\frac{\partial^2 u}{\partial x^2} = 2$. Assuming g:g(x), f: f(y), and h: h(y), the general s...

The second-order differential equation in an unknown function $$u : u(x, y)$$ is defined as $$\frac{\partial^2 u}{\partial x^2}= 2$$ Assuming $$g : g(x)$$, $$f : f(y)$$, and $$h :...

If k is a constant, the general solution of dy/dx - y/x = 1 will be in the form of