First-order equations

Concepts

• Separable equation 10 exercisesA separable equation is a first-order differential equation whose derivative is the product of a function g of x alone and a func…
• First-order linear equation 10 exercisesA first-order linear equation is a differential equation in which y and y' appear to the first power, with a coefficient p and a…
• Integrating factor 10 exercisesAn integrating factor is a function μ that, when multiplied by a first-order linear equation with coefficient p, turns the left s…
• Exact equation 10 exercisesAn exact equation is a differential equation M dx+N dy=0 whose left side is the total differential of a function F(x,y).
• First-order homogeneous equation 10 exercisesA first-order homogeneous equation is a differential equation in which y' is a function F of the quotient y/x.
• Bernoulli equation 10 exercisesA Bernoulli equation is a first-order linear equation whose independent term q is multiplied by a power y^n of the unknown, with…