Differential Equations

Solving First Order Equations

• Method 1: Direct Integration Method (DIM) 

• Method 2: Separation of Variables Method (Separable Method)

• Method 3: Linear First Order Equations (Integrating Factors)

• Method 4: Direct Substitution Method (u=f(x))

• Method 5: Homogeneous Equations (y = vx)

• Method 6: Bernoulli's Equation (ν = y¹⁻ⁿ)

• Method 7: Exact Equations

  • • Standard Method

    • Shortcut Method

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Homogeneous Equations

• Constant Coefficient Equations

Non-homogeneous Equations

• Undetermined Coefficient Method

• Reduction of Orders Method

• Variation of Parameters Method

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Other Types

• Cauchy-Euler Equation

Amazing Power of Laplace Transform Method (must watch)

Special Partial Fractions for Laplace Transforms (watch before the next video)

Nine Problems That You Need to Know