Demonstrate that the substitution u = In(x), where x>0, transforms the ED ax'y + bx'y +...

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Demonstrate that the substitution u = In(x), where x>0, transforms the ED ax'y" + bx'y" + cxy' + ey 0 where a, b, ç and e are constant, in ED d'y +(b-3a) du + (e - b+ 2a) d'y dy a du du Then, use the above to solve the ED x'y" - 3x?y" + xy' = 0 3. (10 puntos) Demuestre que la sustitución u = In (x), donde x > 0, transforma la ED ax'y" + bx?y" + exy' + ey = 0 donde a, b, c y e son constantes, en la ED d'y d'y dy a Jus + (b - 3a) Tvž + (c - b+ 2a) Después, utilice lo anterior para dar solución a la ED x'y" – 3x'y" + xy' = 0 + ey = 0 du %3D Demonstrate that the substitution u = In(x), where x>0, transforms the ED ax'y" + bx'y" + cxy' + ey 0 where a, b, ç and e are constant, in ED d'y +(b-3a) du + (e - b+ 2a) d'y dy a du du Then, use the above to solve the ED x'y" - 3x?y" + xy' = 0 3. (10 puntos) Demuestre que la sustitución u = In (x), donde x > 0, transforma la ED ax'y" + bx?y" + exy' + ey = 0 donde a, b, c y e son constantes, en la ED d'y d'y dy a Jus + (b - 3a) Tvž + (c - b+ 2a) Después, utilice lo anterior para dar solución a la ED x'y" – 3x'y" + xy' = 0 + ey = 0 du %3D

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Let ax y baycayteyo 0 Now by chain ule du du O substitute u In then du de pe dy dy du 3D i we have d... View the full answer