Verify that y₁ and y₂ are solutions of the given differential equation but that y = C₁₁ + C₂₂ is, in general, not a solu

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Verify that y₁ and y₂ are solutions of the given differential equation but that y = C₁₁ + C₂₂ is, in general, not a solu

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Verify That Y And Y Are Solutions Of The Given Differential Equation But That Y C C Is In General Not A Solu 1
Verify That Y And Y Are Solutions Of The Given Differential Equation But That Y C C Is In General Not A Solu 1 (14.22 KiB) Viewed 21 times
Verify that y₁ and y₂ are solutions of the given differential equation but that y = C₁₁ + C₂₂ is, in general, not a solution. vy" (y')²; ₁8, y₂ = x² - Y₁X₁"=1 | = 1/2 (1₂²) ² Now let y = C₁V₁ + C₂2. Then we have the following. Y2Y2" = yy" = (²2C² - yy" + — (x¹) ²
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