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Examples for

# Step-by-Step Differential Equations

Separable Equations

#### See how to solve separable differential equations step by step:

First-Order Exact Equations

#### Use an integrating factor to transform an equation into an exact equation:

Chini-Type Equations

#### Solve a Chini equation with a constant invariant:

Reduction of Order

#### Derive the equation of a catenary curve step by step:

Higher-Order Equations

#### See the steps for solving higher-order differential equations:

First-Order Linear Equations

#### See the steps for using Laplace transforms to solve an ordinary differential equation (ODE):

Bernoulli Equations

#### Explore the steps to solve Bernoulli equations:

General First-Order Equations

#### See how first-order ODEs are solved:

Euler–Cauchy Equations

### RELATED EXAMPLES

• Differential Equations
• First-Order Substitutions

#### Learn the steps to make general substitutions:

Second-Order Constant-Coefficient Linear Equations

#### See the steps for using Laplace transforms to solve an ODE:

General Second-Order Equations