Solution Found!
Find the general solution of given that y1 = x2 is a
Chapter 4, Problem 32E(choose chapter or problem)
Find the general solution of \(x^{4} y^{\prime \prime}+x^{3} y^{\prime}-4 x^{2} y=1\) given that \(y_1= x^2\) is a solution of the associated homogeneous equation.
Text Transcription:
x^4 y^prime prime+x^3 y^prime-4 x^2 y=1
Questions & Answers
QUESTION:
Find the general solution of \(x^{4} y^{\prime \prime}+x^{3} y^{\prime}-4 x^{2} y=1\) given that \(y_1= x^2\) is a solution of the associated homogeneous equation.
Text Transcription:
x^4 y^prime prime+x^3 y^prime-4 x^2 y=1
ANSWER:Step 1 of 3
To solve this problem, we use the method Reduction of Order we learnt in section 42 We first write the equation in the standard form by dividing by 
If 
Substituting 
