Consider the differential equation xy + y = 0 - Math

ChemistryExplain daily providing Q&A content “#414 Consider the differential equation xy + y = 0" in Bridges math curriculum, Dr mather, Carnegie math, 10th maths, 10th grade math problems, Math

$ChemistryExplain “#414 Consider the differential equation xy + y = 0 in Bridges math curriculum, Dr mather, Carnegie math, 10th maths$

Get the Free Online Chemistry Q&A Questions And Answers with explain. To crack any examinations and Interview tests these Chemistry Questions And Answers are very useful. Here we have uploaded the Free Online Chemistry Questions. Here we are also given the all chemistry topic.

ChemistryExplain team has covered all Topics related to inorganic, organic, physical chemistry, and others So, Prepare these Chemistry Questions and Answers with Explanation Pdf.

For More Chegg Questions

Free Chegg Question

Consider the differential equation .

The objective is to find a basis of solutions by the Frobenius method.

Free Chegg AnswerFor More Chemistry Notes and Helpful Content Subscribe Our YouTube Chanel - Chemistry Explain

Free Chegg Answer

1. Step 1 of 5
  
  Consider the differential equation .
  
  The objective is to find a basis of solutions by the Frobenius method.
2. Step 2 of 5
  
  Write the equationas
  
  This equation is of the form where and
  
  .
  
  The functions and are analytic at .
  
  Substitute
  
  in the equation .
  
  The smallest power is . The coefficient of is .
  
  Solve the equation .
  
  They differ by an integer.
3. Step 3 of 5
  
  Find the first solution .
  
  Substitute in the equation
  
  Let .
  
  Then
  
  Therefore, the first solution is .
4. Step 4 of 5
  
  Find the second solution .
5. Step 5 of 5
  
  Apply reduction of order to the differential equation .
  
  Let .
  
  Substitute and in the equation .
  
  Therefore,