541

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 541

Source: 1986 Gakusyuin University entrance exam/Science

Find the functions

f(x),\ g(x)

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)

calculusintegrationfunctioncalculus computations