Cauchy Euler Equations and Super Position Approach || Differential Equations

x^2y''-xy'+y=ln(x)

This is a good problem involving a Cauchy - Euler equation where we'll use the method of super position approach to find a particular solution. Be careful: there's a common error that many students make! We take our time and point out the error. You might want to review the method super position approach before trying this problem; link below. More problems are linked below.

Reference Videos:
▶️Cauchy Euler Equations and Variation of Parameters || Differential Equations

▶️Use Variation of Parameters to Solve y'''+ y'= tanx

▶️Variation of Parameters || Nonhomogeneous Second Order Differential Equations

▶️Integrals of powers of tan using Integral Reduction

▶️Annihilator Operators || Differential Operator || Differential Equation

▶️Method of Undetermined Coefficients | Superposition Approach | 20 Examples

▶️Method of Undetermined Coefficients Superposition Approach || Differential Equations

▶️Linear Higher Order Differential Equation | Distinct Roots | Repeated Roots | Complex Roots

▶️Homogeneous Differential Equation With Constant Coefficients | Higher Order | Concept | Examples

▶️Homogeneous Differential Equation With Constant Coefficients | Conjugate Complex Roots

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Example will help Engineering and Basic Science students to understand the following topic of Mathematics:
1. How to use the super position approach Method to Solve a Cauchy Euler Equation
2. Example Of super position approach Method to Solve a Cauchy Euler Equation
3. how to solve cauchy euler differential equation using x=e^t
4.Concept Of particular solution using method of undetermined coefficients using super position approach
5. This is helpful For CSIR NET, IIT-JAM, GATE Exams.
6. This is Part Of the Differential Equation.

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