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Mathematica Calculus Equation Solving Wolfram Language

How to solve inequality with some conditions in Mathematica?

Posted 11 years ago

Hello, everyone! I want to solve a problem like this. we have known that: (1)e^x*f(x)+f ' (x)>1, and (2) f(0)=4. How to solve inequality e^xf(x)>3e^x+1. Thanks!

POSTED BY: Peng Liu

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Posted 11 years ago

Here a solution Reduce[Exp f > 3 Exp + 1, f]

POSTED BY: Mariano Gonzalez

Posted 11 years ago

Reduce[Exp f > 3 Exp + 1, f] (E^x < 0 && f < E^-x (1 + 3 E^x)) \|\| (E^x > 0 && f > E^-x (1 + 3 E^x))

POSTED BY: Mariano Gonzalez

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