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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

Solve exact differential equations step by step:

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

Chini-Type Equations

Solve a Riccati equation step by step:

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 step by step:

Higher-Order Equations

See the steps for solving higher-order differential equations:

First-Order Linear Equations

Solve first-order linear differential 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 the steps for solving Clairaut's equation:

Solve d'Alembert's equation:

See how first-order ODEs are solved:

Euler–Cauchy Equations

Solve Euler–Cauchy equations:

RELATED EXAMPLES

  • Differential Equations
  • First-Order Substitutions

    Solve a first-order homogeneous equation through a substitution:

    Learn the steps to make general substitutions:

    Second-Order Constant-Coefficient Linear Equations

    Solve a constant-coefficient linear homogeneous equation:

    Explore how to solve inhomogeneous constant-coefficient linear equations:

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

    General Second-Order Equations

    Investigate the steps for solving second-order ODEs:

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