Respuestas - Sección 3.10

Aquí encontrarás las respuestas a todos los ejercicios de la sección 3.10

  1. y=c1x−1+c2x2\hspace{0.5cm}y=c_1x^{-1}+c_2x^2

  1. y=c1+c2x4\hspace{0.5cm}y=c_1+c_2x^4

  1. y=c1cos(2ln⁡∣x∣)+c2sen(2ln⁡∣x∣)\hspace{0.5cm}y=c_1cos(2\ln \left| x\right|)+c_2sen(2\ln \left| x\right|)

  1. y=c1x2−6+c2x2+6\hspace{0.5cm}y=c_{1}x^{2-\sqrt{6}}+c_{2}x^{2+\sqrt{6}}

  1. y=C1x1/2+C2x−1/2\hspace{0.5cm}y=C_{1}x^{1/2}+C_{2}x^{-1/2}

  1. y=c1x−2+c2x−2ln⁡∣x∣\hspace{0.5cm}y=c_1x^{-2}+c_2x^{-2}\ln \left| x\right|

  1. y=c1x4cos(5ln⁡∣x∣)+c2x4sen(5ln⁡∣x∣)\hspace{0.5cm}y=c_1x^4cos(5\ln \left| x\right|)+c_2x^4sen(5\ln \left| x\right|)

  1. y=c1x3+c2cos(2ln⁡∣x∣)+c3sen(2ln⁡∣x∣)\hspace{0.5cm}y=c_1x^{3}+c_2cos(\sqrt{2}\ln \left| x\right|)+c_3sen(\sqrt{2}\ln \left| x\right|)

  1. y=c1x+c2xln⁡∣x∣+c3xln⁡2∣x∣\hspace{0.5cm}y=c_1x+c_2x\ln \left| x\right|+c_3x\ln^2 \left| x\right|

  1. y=c1+c2x+c3x2+c4x−3\hspace{0.5cm}y=c_1+c_2x+c_3x^2+c_4x^{-3}

  1. y=c1+c2x5−125x5+15x5ln⁡∣x∣\hspace{0.5cm}y=c_1+c_2x^{5}-\dfrac{1}{25}x^5+\dfrac{1}{5}x^5\ln \left| x\right|

  1. y=c1x−1+c2x−12−16x+115x2\hspace{0.5cm}y=c_1x^{-1}+c_2x^{-\frac{1}{2}}-\dfrac{1}{6}x+\dfrac{1}{15}x^2

  1. y=c1x+c2xln⁡∣x∣+xln⁡2∣x∣\hspace{0.5cm}y=c_1x+c_2x\ln \left| x\right|+x\ln^2 \left| x\right|

  1. y=c1x+c2x2+x2ex−2xex\hspace{0.5cm}y=c_1x+c_2x^2+x^2e^x-2xe^x

  1. y=c1x+c2x−1−ln⁡∣x∣\hspace{0.5cm}y=c_1x+c_2x^{-1}-\ln \left| x\right|