Today's calculation of Integral 541
Source: 1986 Gakusyuin University entrance exam/Science
January 30, 2010
calculusintegrationfunctioncalculus computations
Problem Statement
Find the functions satisfying the following equations.
(1) f'(x) \equal{} 2f(x) \plus{} 10,\ f(0) \equal{} 0
(2) \int_0^x u^3g(u)du \equal{} x^4 \plus{} g(x)