Pro
Examples for
Step-by-Step Differential Equations
Separable Equations
See how separable equations are solved:
First-Order Exact Equations
Transform into an exact equation:
Chini-Type Equations
Solve a Riccati equation:
Solve an Abel equation of the first kind with a constant invariant:
Solve a Chini equation with a constant invariant:
Reduction of Order
Reduce to a first-order equation:
Derive the equation of a catenary curve:
Higher-Order Equations
See the steps for higher-order equations:
First-Order Linear Equations
Solve first-order linear equations:
See steps that use Laplace transforms to solve an ODE:
Bernoulli Equations
Learn to solve Bernoulli equations:
General First-Order Equations
See the steps for solving Clairaut's equation:
Solve d'Alembert's equation:
See how first-order ordinary differential equations are solved:
Euler–Cauchy Equations
Solve Euler–Cauchy equations:
First-Order Substitutions
Apply a linear substitution:
Solve a first-order homogeneous equation through a substitution:
Make general substitutions:
Second-Order Constant-Coefficient Linear Equations
Solve a constant-coefficient linear homogeneous equation:
Solve a constant-coefficient linear equation with multiple methods:
See steps that use Laplace transforms to solve an ODE:
General Second-Order Equations
See how second-order ordinary differential equations are solved: