Differential Equations
Variable Separable Form
Solves a first-order differential equation by integrating each variable on separate sides.
Reducible to Separable Form
Transforms a differential equation with a linear combination inside the function into variable separable form.
Homogeneous Equation Substitution (dy/dx)
Reduces a first-order homogeneous differential equation dy/dx = f(y/x) to variable separable form.
Homogeneous Equation Substitution (dx/dy)
Reduces a first-order homogeneous differential equation dx/dy = g(x/y) to variable separable form.
Linear Differential Equation (dy/dx Form)
Solves a first-order linear differential equation in y using an integrating factor.
Linear Differential Equation (dx/dy Form)
Solves a first-order linear differential equation when x is the dependent variable and y is independent.