JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

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Application +4 | -1

The numbers P,Q and R for which the function

f\left( x \right) = P{e^{2x}} + Q{e^x} + Rx

satisfies the conditions

f\left( 0 \right) = - 1,\,{f^1}\left( {\log 2} \right) = 31

and

\int_0^{\log 4} {\left[ {f\left( x \right) - Rx} \right]dx=\frac{{39}}{2}}

are given by

View answer and explanation

Correct option: D

P=5, Q=-6, R=3

Option D (P=5, Q=-6, R=3) is correct because these values satisfy all the given conditions for the function f(x).

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