Find the particular solution of the differential equation that satisfies the initial conditions. f apostrophe apostrophe open parentheses x close parentheses equals 8 comma space space space space f apostrophe (1 )equals 6 comma space space space space f (0 )equals 5

Therefore the required solution is

Step-by-step explanation:

Rule of integration:

Given that,

f''(x)  = 8 and initial conditions are f'(1)=6 and f(0)=5

∴f''(x)  = 8

Integrating both sides

            [ is constant of integration]

Initial condition f'(1) =6

Again integrating both sides

    [ is constant of integration]

Initial condition f(0)=5

Therefore the required solution is

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answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are