Grings - Equação Diferencial de Bernoulli ( parte 1 )

Subscribe to my CHANNEL to receive FREE lessons WEBSITE: http://www.omatematico.com/ Lessons on DVD: http://www.lojaomatematico.com.br/ STUDYING has never been so easy! CONTENT: How to solve a differential equation that is not LINEAR? Find out in the time of this video at 1 minute 33 seconds and 2 minutes 30 seconds. First-order linear equation: y´ + p(x) y = q(x) at video time 28 seconds seen in previous videos, Video Lesson: http://bit.ly/1CTzPMp and the LAGRANGE TRANSFORM FORMULA to solve at video time 48 seconds Access the video lesson to see the Lagrange Transform formula at video time 1 minute 24 seconds: http://bit.ly/1O7I2qU or solving by INTEGRATING FACTOR at video time 54 seconds Playlist with 3 video lessons on First-order Differential Equations with Integrating Factors: http://bit.ly/1GarQhn Differential Equation by BERNOULLI: y´ + p(x) y = q(x) . y^n (where ^ is read: to the first power) at video time 1 min 3 s In the formula, let n be any real number (at video time 1 min 59 s) Recalling what a linear differential equation is: Video Lesson: http://bit.ly/1CTzPMp Auxiliary function used: Z = y^1 - n (where ^ is read: to the first power) at video time 2 min 6 s EXERCISE: y´ + xy = xy² at video time 3 min 3 s The expression above became linear at video time 8 min 38 s Solving by Lagrange Transform at video time 10 min 9 s