Saved Bookmarks
| 1. |
The solution of x^(3)(dy)/(dx)+4x^(2)tan y=e^(x)sec y satisfying y(1) = 0, is |
|
Answer» `TAN y = e^(x)(x-2)lnx` `implies x^(3).(dt)/(dx)+4x^(2).t=e^(x), ""("where " t=siny)` `impliesx^(4)(dt)/(dx)+4x^(3)t=XE^(x)implies(d)/(dx)(x^(4).t)=xe^(x)impliesx^(4)t=(x-1)e^(x)+c` `impliesx^(4)siny=(x-1)e^(x)+c` `becausey(1)=0impliesc=0impliessiny=(e^(x)(x-1))/(x^(4))` |
|