How do you solve the differential equation given f'(x)=4x, f(0)=6?

Ariel Wilkinson 2022-09-29 Answered
How do you solve the differential equation given f'(x)=4x, f(0)=6?
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Answers (1)

Deanna Randolph
Answered 2022-09-30 Author has 3 answers
Substitute d y d x for f'(x)
d y d x = 4 x
Use the separation of variable technique:
d y = 4 x d x
Integrate both sides:
y = 2 x 2 + C
Evaluate C, using the initial condition:
6 = 2 ( 0 ) 2 + C
C = 6
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