Solved: In 19–22, a particular solution and a fundamental
Chapter 6, Problem 20E(choose chapter or problem)
In Problems 19–22, a particular solution and a fundamental solution set are given for a nonhomogeneous equation and its corresponding homogeneous equation.
(a) Find a general solution to the nonhomogeneous equation. (b) Find the solution that satisfies the specified initial conditions.
\(x y^{\prime \prime \prime}-y^{\prime \prime}=-2\), \(y(1)=2, y^{\prime}(1)=-1\),
\(y^{\prime \prime}(1)=-4\), \(y_{p}=x^{2}\), \(\left\{1, x, x^{3}\right\}\)
Equation transcription:
Text transcription:
x y^{prime prime prime}-y^{prime prime}=-2
y(1)=2, y^{\prime}(1)=-1
y^{prime prime}(1)=-4
y{p}=x^{2}
{1, x, x^{3}}
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