[Solution Library] Solve the following ordinary differential equation initial value problems for y(x) y^prime +xy=0, y(0)=1 , x^2 y^prime \prime-4 x y^prime+6
Question: Solve the following ordinary differential equation initial value problems for \(y(x)\)
- \[{{y}^{\prime }}+xy=0,\quad y(0)=1\text{ , }\]
- \(x^{2} y^{\prime \prime}-4 x y^{\prime}+6 y=6, \quad y(1)=0, y^{\prime}(1)=1\),
- \(y^{\prime \prime}+y^{\prime}-6 y=1, \quad y(0)=0, \quad y^{\prime}(0)=2\)
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