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AP® Calculus AB-BC

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Finding a Particular Solution

APCALC-MJHQY0

Find the particular solution that satisfies the given differential equation with the given initial condition:

$$f'(x)=3x,f(0)=5$$

A

$3$

B

$3x+5$

C

$\cfrac{3}{2}x^{2}+5$

D

$\cfrac{3}{2}x^{2}+5x$