Solution Found!
The initial-conditions y(0) = y0, apply to each of the
Chapter 4, Problem 45E(choose chapter or problem)
The initial-conditions \(y(0)=y_{0}, y^{\prime}(0)=y_{1}\) apply to each of the following differential equations:
\(x^{2} y^{\prime \prime}=0\),
\(x^{2} y^{\prime \prime}-2 x y^{\prime}+2 y=0\),
\(x^{2} y^{\prime \prime}-4 x y^{\prime}+6 y=0 .\)
For what values of \(y_{0} \text { and } y_{1}\) does each initial-value problem have a solution?
Text Transcription:
y 0=y_0, y^prime 0=y_1
x^2 y^prime prime =0
x^2 y^prime prime-2 x y^prime+2 y=0
x^2 y^prime prime-4 x y^prime+6 y=0
y_0
y_1
Questions & Answers
QUESTION:
The initial-conditions \(y(0)=y_{0}, y^{\prime}(0)=y_{1}\) apply to each of the following differential equations:
\(x^{2} y^{\prime \prime}=0\),
\(x^{2} y^{\prime \prime}-2 x y^{\prime}+2 y=0\),
\(x^{2} y^{\prime \prime}-4 x y^{\prime}+6 y=0 .\)
For what values of \(y_{0} \text { and } y_{1}\) does each initial-value problem have a solution?
Text Transcription:
y 0=y_0, y^prime 0=y_1
x^2 y^prime prime =0
x^2 y^prime prime-2 x y^prime+2 y=0
x^2 y^prime prime-4 x y^prime+6 y=0
y_0
y_1
ANSWER:Step 1 of 4
In this question we have to find for what values of does the initial value problem has a
solution