Por favor me puedes colaborar con esta pregunta de ecuaciones diferenciales?
Por favor me puedes colaborar con esta pregunta de ecuaciones diferenciales.
Por favor me puedes colaborar con esta pregunta de ecuaciones diferenciales.
Pregunta de Matemáticas · 1 respuesta · 2 votos · mejor respuesta de Ruththalia
En resumen
Sea <img src="https://tex.z-dn.net/?
Sea
<img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%0Ay%3D%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7Da_nx%5E%7Bn%7D%5C%5C%20%5C%5C%20%5C%5C%0Ay%27%3D%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7Dna_nx%5E%7Bn-1%7D%5C%5C%20%5C%5C%20%5C%5C%0Ay%27%27%3D%5Csum_%7Bn%3D2%7D%5E%7B%5Cinfty%7Dn%28n-1%29a_nx%5E%7Bn-2%7D%5C%5C%20%5C%5C%20%5C%5C%20%0A%5Ctexttt%7BAs%5C%27i%20tenemos%20la%20EDO%3A%7D%0A%5C%5C%20%5C%5C%0A%5Csum_%7Bn%3D2%7D%5E%7B%5Cinfty%7Dn%28n-1%29a_nx%5E%7Bn-2%7D-2x%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7Dna_nx%5E%7Bn-1%7D%2B8%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7Da_nx%5E%7Bn%7D%3D0%0A%5C%5C%20%5C%5C%20%5C%5C%0A%5Csum_%7Bn%3D2%7D%5E%7B%5Cinfty%7Dn%28n-1%29a_nx%5E%7Bn-2%7D-%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D2na_nx%5E%7Bn%7D%2B%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7D8a_nx%5E%7Bn%7D%3D0%0A%0A%0A" />
<img src="https://tex.z-dn.net/?f=%5Cdisplaystyle%0A%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7D%28n%2B2%29%28n%2B1%29a_%7Bn%2B2%7Dx%5E%7Bn%7D-%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D2na_%7Bn%7Dx%5E%7Bn%7D%2B%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7D8a_nx%5E%7Bn%7D%3D0%0A%5C%5C%20%5C%5C%20%5C%5C%0A2a_2%2B%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D%28n%2B2%29%28n%2B1%29a_%7Bn%2B2%7Dx%5E%7Bn%7D-%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D2na_%7Bn%7Dx%5E%7Bn%7D%2B8a_0%2B%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D8a_nx%5E%7Bn%7D%3D0%0A%5C%5C%20%5C%5C%20%5C%5C%0A8a_0%2B2a_2%2B%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D%5B%28n%2B2%29%28n%2B1%29a_%7Bn%2B2%7D-2na_n%2B8a_n%5Dx%5En%3D0%0A" />
<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%0Aa_2%3D-4a_0%3D-12%5C%5C%20%0A%28n%2B2%29%28n%2B1%29a_%7Bn%2B2%7D-%282n-8%29a_n%3D0%26%2C%20n%5Cgeq%201%0A%5Cend%7Bcases%7D%5C%5C%20%5C%5C%20%5C%5C%0Aa_%7Bn%2B2%7D%3D%5Cdfrac%7B2n-8%7D%7B%28n%2B1%29%28n%2B2%29%7Da_n%0A%5C%5C%20%5C%5C%0A%5Ctexttt%7Bveamos...%7D%5C%5C%20%5C%5C%0A%5Ctext%7Bcon%20%7Dn%3D1%5Clongrightarrow%20a_3%3D-a_1%3D0%5C%5C%20%5C%5C%0A%5Ctext%7Bcon%20%7Dn%3D2%5Clongrightarrow%20a_4%3D-%5Cdfrac%7B1%7D%7B3%7Da_2%3D%5Cdfrac%7B4%7D%7B3%7Da_0%3D4%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctext%7Bcon%20%7Dn%3D3%5Clongrightarrow%20a_5%3D0%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctext%7Bcon%20%7Dn%3D4%5Clongrightarrow%20a_6%3D0%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctext%7Bcon%20%7Dn%3D5%5Clongrightarrow%20a_7%3D0%5C%5C%20%5C%5C%20%5C%5C%0A%5Ctext%7Bcon%20%7Dn%3D6%5Clongrightarrow%20a_8%3D0%5C%5C%20%5C%5C%20%0A%5Cvdots%5C%5C%20%5C%5C%0Ay%3D3%2B0x-12x%5E2%2B0x%5E3%2B4x%5E4%2B0x%5E5%2B0x%5E6%5Ccdots%5C%5C%20%5C%5C%0A%0A" /> <img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7By%3D3-12x%5E2%2B4x%5E4%7D%7D" />.
Sea <img src="https://tex.z-dn.net/?