SOLUTION: if f (x) + f '' (x) = 2 tan ^3(x) + tan ^2(x) + tan (x) + 1 , then f (x) = ...

Algebra.Com
Question 1207534: if f (x) + f '' (x) = 2 tan ^3(x) + tan ^2(x) + tan (x) + 1 , then f (x) = ...
Answer by mccravyedwin(406)   (Show Source): You can put this solution on YOUR website!
These days there are online calculators that will solve almost anything. This
site will even give the steps. (I predict they'll eventually start requiring
you to subscribe, so you'll have to pay $$$).  So take advantage while they're
still free.
 
Go to this site 

https://mathdf.com/dif/

and type this in

 y + y '' = 2 tan ^3(x) + tan ^2(x) + tan (x) + 1

and you'll get this:



Then change y to f(x).  You can get the steps also.

Edwin

RELATED QUESTIONS

if f (x) + f ' (x) = 2 tan ^3(x) + tan ^2(x) + tan (x) + 1 , then f (x) =... (answered by CPhill)
for the function f(x) = tan x, show that f(x+y)-f(x) = sec^2 x tan y / 1 - tan x tan... (answered by Edwin McCravy)
if f(x)= e^tan^2x, then f'(x) equals (answered by Alan3354)
Find f ’(x) if f(x) = 5 tan(x) - 2 ex - 3 and evaluate f ’(1). (Keep 2... (answered by Alan3354)
Hi,... (answered by richard1234)
Tan 3x = 3 tan X - tan^3 X / 1 - 3 tan^2... (answered by ikleyn,MathTherapy)
if tan(x)/x = -2 , then x =... (answered by ikleyn)
If f(b)=(b-b^2)/(1+b^2 ); find f(tan... (answered by anand429)
Find f ’(x) if f(x) = 5 tan(x) - 2 e^x - 3 and evaluate f ’(1). (Keep 2 (answered by ikleyn)