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Reduce to first order and solve (show each step in detail).
20. [tex]x y^{\prime \prime} + 2 y^{\prime} + x y = 0, \quad y_1 = x^{-1} \cos x[/tex]
21. [tex]y^{\prime \prime} + y^{\prime 3} \sin y = 0[/tex]
22. [tex]\left(1 - x^2\right) y^{\prime \prime} - 2 x y^{\prime} + 2 y = 0, \quad y_1 = x[/tex]
Sagot :
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